Integrals 3201 to 3300

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \sqrt {a x+\sqrt {-b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {-b+a^2 x^2}}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x/(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2377\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{1-x \sqrt {c+b x+a x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(1-x*(a*x^2+b*x+c)^(1/2)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2476\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {x+\sqrt {1+x}}}{1+x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2484\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {x+\sqrt {1+x}}}{1+x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x+(1+x)^(1/2))^(1/2)/(x^2+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2485\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {x+\sqrt {1+x}}}{\sqrt {1+x} \left (1+x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^2+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2511\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {x+\sqrt {1+x}}}{\sqrt {1+x} \left (1+x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x+(1+x)^(1/2))^(1/2)/(1+x)^(1/2)/(x^2+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueD
one

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2512\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^2\right ) \sqrt [4]{x^3+x^4}}{1+x^2+x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^2-1)*(x^4+x^3)^(1/4)/(x^4+x^2+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2523\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^2\right ) \sqrt [4]{x^3+x^4}}{1+x^2+x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^2-1)*(x^4+x^3)^(1/4)/(x^4+x^2+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,0,1,0,0,0,1]proot error [1,0,0,0,-1,0,0,0,1]proot error [1,0,-10,0,1]proot error [1,0,-1
0,0,1]proot

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2524\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-4 b+a x^4\right ) \sqrt [4]{-b+a x^4}}{x^6 \left (-8 b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^4-4*b)*(a*x^4-b)^(1/4)/x^6/(a*x^8-8*b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{4,[0,1,4,1,0]%%%}+%%%{-1,[0,1,0,0,1]%%%} / %%%{8,[0,0,0,
1,0]%%%} Er

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2567\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-4 b+a x^4\right ) \sqrt [4]{-b+a x^4}}{x^6 \left (-8 b+a x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^4-4*b)*(a*x^4-b)^(1/4)/x^6/(a*x^8-8*b),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{4,[0,1,4,1,0]%%%}+%%%{-1,[0,1,0,0,1]%%%} / %%%{8,[0,0,0,
1,0]%%%} Er

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2568\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {b^2+a^2 x^3} \left (2 b^2+c x^3+a^2 x^6\right )}{x \left (b^2+a^2 x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^3+b^2)^(1/2)*(a^2*x^6+c*x^3+2*b^2)/x/(a^2*x^6+b^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2610\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3 \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}}{\sqrt {a x^2+b x \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(-a/b^2+a^2*x^2/b^2)^(1/2)/(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2638\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a x+\sqrt {b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}}}{\left (b+a^2 x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2646\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a x+\sqrt {b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}}}{\left (b+a^2 x^2\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2647\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {b^2+a^2 x^3} \left (2 b^2+c x^3+a^2 x^6\right )}{x^7 \left (b^2+a^2 x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^3+b^2)^(1/2)*(a^2*x^6+c*x^3+2*b^2)/x^7/(a^2*x^6+b^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2709\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (-2+x^8\right ) \sqrt [4]{2-2 x^4+x^8}}{\left (2+x^8\right ) \left (4-x^4+2 x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*(x^8-2)*(x^8-2*x^4+2)^(1/4)/(x^8+2)/(2*x^8-x^4+4),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueDone

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2711\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-1+x^2}{\left (1+x^2\right ) \sqrt {x+\sqrt {1+x}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueI
nvalid _EXT

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2712\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-1+x^2}{\left (1+x^2\right ) \sqrt {x+\sqrt {1+x}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueI
nvalid _EXT

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2713\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3}{\sqrt [3]{-x^2+x^3} \left (-1+x^6\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/(x^3-x^2)^(1/3)/(x^6-1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:proot error [1,0,0,1,0,0,1]proot error [1,0,0,-1,0,0,1]Invalid _EXT in replace_ext Error: Bad Argument Valu
eproot erro

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2752\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^2\right )^2 \left (x+x^3\right )}{\sqrt {1+x^4} \left (1-2 x^2+4 x^4-2 x^6+x^8\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^2-1)^2*(x^3+x)/(x^4+1)^(1/2)/(x^8-2*x^6+4*x^4-2*x^2+1),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueNot invertible Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2761\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{1-(1+x) \sqrt {c+b x+a x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(1-(1+x)*(a*x^2+b*x+c)^(1/2)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2798\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {a x+\sqrt {b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2828\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}}}{\left (b+a^2 x^2\right )^{3/2} \sqrt {a x+\sqrt {b+a^2 x^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2)/(a*x+(a^2*x^2+b)^(1/2))^(1/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2830\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}}}{\left (b+a^2 x^2\right )^{3/2} \sqrt {a x+\sqrt {b+a^2 x^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2)/(a^2*x^2+b)^(3/2)/(a*x+(a^2*x^2+b)^(1/2))^(1/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2831\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+\sqrt {a x^2+x \sqrt {-b+a^2 x^2}}}}{\sqrt {-b+a^2 x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c+(a*x^2+x*(a^2*x^2-b)^(1/2))^(1/2))^(1/2)/(a^2*x^2-b)^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2852\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}} \sqrt [3]{a x^2+b x \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-a/b^2+a^2*x^2/b^2)^(1/2)*(a*x^2+b*x*(-a/b^2+a^2*x^2/b^2)^(1/2))^(1/3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2917\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (c+b x+a x^2\right )^{5/2}}{c+b x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^2+b*x+c)^(5/2)/(b*x+c),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2921\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1+x} \left (-1+x^2\right )}{\left (1+x^2\right ) \sqrt {x+\sqrt {1+x}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueI
nvalid _EXT

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2924\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {1+x} \left (-1+x^2\right )}{\left (1+x^2\right ) \sqrt {x+\sqrt {1+x}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((1+x)^(1/2)*(x^2-1)/(x^2+1)/(x+(1+x)^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Invalid _EXT in replace_ext Error: Bad Argument ValueInvalid _EXT in replace_ext Error: Bad Argument ValueI
nvalid _EXT

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2925\)

Giac [F(-2)]

Exception generated. \[ \int \frac {a b c-b^2 x+a^2 x^2}{\sqrt {c+b x+a x^2} \left (c+b x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^2+a*b*c-b^2*x)/(a*x^2+b*x+c)^(1/2)/(b*x^2+c),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error: Bad Argument Type

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2931\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^4\right ) \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{\sqrt {1+x^2} \left (1-x^4\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(1/2)/(-x^4+1),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{%%{poly1[-162328861787114294502193336836470015638484363659997279497502747642
64752867482521

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3023\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (1+x^4\right ) \sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{\sqrt {1+x^2} \left (1-x^4\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^4+1)*(1+(x+(x^2+1)^(1/2))^(1/2))^(1/2)/(x^2+1)^(1/2)/(-x^4+1),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{%%{poly1[-162328861787114294502193336836470015638484363659997279497502747642
64752867482521

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3024\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {-b+a^2 x^2} \sqrt {a x+\sqrt {-b+a^2 x^2}}}{\sqrt {c+\sqrt {a x+\sqrt {-b+a^2 x^2}}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^2-b)^(1/2)*(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3027\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (c+b x+a x^2\right )^{3/2}}{1-x \sqrt {c+b x+a x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a*x^2+b*x+c)^(3/2)/(1-x*(a*x^2+b*x+c)^(1/2)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3031\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {b+a^2 x^2} \sqrt {a x+\sqrt {b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^2+b)^(1/2)*(a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3045\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c+b x+a x^2} \left (c^3+a^3 b^3 x^3\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(a*x^2+b*x+c)^(1/2)/(a^3*b^3*x^3+c^3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3052\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {\frac {-1+a x-2 x^2+2 a x^3-x^4+a x^5}{1+a x-2 x^2-2 a x^3+x^4+a x^5}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((a*x^5+2*a*x^3-x^4+a*x-2*x^2-1)/(a*x^5-2*a*x^3+x^4+a*x-2*x^2+1))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3055\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {-b+a^2 x^2}}{\sqrt {c+\sqrt {a x+\sqrt {-b+a^2 x^2}}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^2-b)^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3069\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {-b+a^2 x^2}}{\sqrt {a x+\sqrt {-b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {-b+a^2 x^2}}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^2-b)^(1/2)/(a*x+(a^2*x^2-b)^(1/2))^(1/2)/(c+(a*x+(a^2*x^2-b)^(1/2))^(1/2))^(1/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3079\)

Giac [F(-2)]

Exception generated. \[ \int \sqrt {b+a^2 x^2} \sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^2+b)^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3083\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c_4+\sqrt {\frac {c_0+x c_1}{c_2+x c_3}} c_5} (c_6+x c_7)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3100\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x \left (2 x^3 c_3-c_4\right )}{\left (-x+x^3 c_3+c_4\right ) \sqrt [3]{\frac {x c_0+x^3 c_3+c_4}{x c_1+x^3 c_3+c_4}} \left (x^2+x^4 c_3+x^6 c_3{}^2+x c_4+2 x^3 c_3 c_4+c_4{}^2\right )} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(x*(2*_C3*x^3-_C4)/(_C3*x^3+_C4-x)/((_C3*x^3+_C0*x+_C4)/(_C3*x^3+_C1*x+_C4))^(1/3)/(_C3^2*x^6+2*_C3*_
C4*x^3+_C3*x^4+_C4^2+_C4*x+x^2),x, algorithm="giac")

[Out]

Exception raised: AttributeError >> type

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3125\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-1+x^2\right ) \sqrt {c_4+\sqrt {\frac {c_0+x c_1}{c_2+x c_3}} c_5}}{1+x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^2-1)*(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(x^2+1),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Recursive assumpt
ion sageVAR_C0>=((sageVAR_C1*sageVAR_C2*sageVAR_C3-sageVAR_C1*sageVAR_C3*t_nostep^2)/sageVAR_C3^2) ignoredRecu
rsive assumpti

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3130\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{\sqrt {c_4+\sqrt {\frac {c_0+x c_1}{c_2+x c_3}} c_5} (c_6+x c_7){}^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6)^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3137\)

Giac [F(-2)]

Exception generated. \[ \int \frac {c_6+x c_7}{\sqrt {c_4+\sqrt {\frac {c_0+x c_1}{c_2+x c_3}} c_5}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((_C7*x+_C6)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const i
ndex_m & i,con

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3140\)

Giac [F(-2)]

Exception generated. \[ \int \left (b+a^2 x^2\right )^{3/2} \sqrt {a x+\sqrt {b+a^2 x^2}} \sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((a^2*x^2+b)^(3/2)*(a*x+(a^2*x^2+b)^(1/2))^(1/2)*(c+(a*x+(a^2*x^2+b)^(1/2))^(1/2))^(1/2),x, algorithm
="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3142\)

Giac [F(-2)]

Exception generated. \[ \int \frac {c_8+x c_9}{\sqrt {c_4+\sqrt {\frac {c_0+x c_1}{c_2+x c_3}} c_5} (c_6+x c_7)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((_C9*x+_C8)/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2)/(_C7*x+_C6),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3150\)

Giac [F(-2)]

Exception generated. \[ \int \frac {(c_6+x c_7){}^2}{\sqrt {c_4+\sqrt {\frac {c_0+x c_1}{c_2+x c_3}} c_5}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((_C7*x+_C6)^2/(_C4+((_C1*x+_C0)/(_C3*x+_C2))^(1/2)*_C5)^(1/2),x, algorithm="giac")

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:sym2poly/r2sym(co
nst gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const i
ndex_m & i,con

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3154\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {2 x^2}{10+7 x+x^2+e^{5+x} (10+2 x)}} \left (40 x+14 x^2+e^{5+x} \left (40 x-16 x^2-4 x^3\right )\right )}{100+140 x+69 x^2+14 x^3+x^4+e^{10+2 x} \left (100+40 x+4 x^2\right )+e^{5+x} \left (200+180 x+48 x^2+4 x^3\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-4*x^3-16*x^2+40*x)*exp(5)*exp(x)+14*x^2+40*x)*exp(2*x^2/((2*x+10)*exp(5)*exp(x)+x^2+7*x+10))/((4*
x^2+40*x+100)*exp(5)^2*exp(x)^2+(4*x^3+48*x^2+180*x+200)*exp(5)*exp(x)+x^4+14*x^3+69*x^2+140*x+100),x, algorit
hm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{4,[1,16]%%%}+%%%{-176,[1,15]%%%}+%%%{3392,[1,14]%%%}+%%%
{-37408,[1,

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-20 e^{2+\frac {5}{-2+e^2 x^4}} x^4+\left (-4+4 e^2 x^4-e^4 x^8+e^{\frac {5}{-2+e^2 x^4}} \left (4-4 e^2 x^4+e^4 x^8\right )\right ) \log \left (-1+e^{\frac {5}{-2+e^2 x^4}}\right )}{-4+4 e^2 x^4-e^4 x^8+e^{\frac {5}{-2+e^2 x^4}} \left (4-4 e^2 x^4+e^4 x^8\right )} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate((((x^8*exp(2)^2-4*x^4*exp(2)+4)*exp(5/(x^4*exp(2)-2))-x^8*exp(2)^2+4*x^4*exp(2)-4)*log(exp(5/(x^4*ex
p(2)-2))-1)-20*x^4*exp(2)*exp(5/(x^4*exp(2)-2)))/((x^8*exp(2)^2-4*x^4*exp(2)+4)*exp(5/(x^4*exp(2)-2))-x^8*exp(
2)^2+4*x^4*exp(2)-4),x, algorithm="giac")

[Out]

Exception raised: AttributeError >> type

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(23\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x^3}{8 e^3 x^2+e^5 x^3+e^x \left (8 e^3+e^5 x\right )}} \left (128 e^6 x^4+16 e^3 x^5+32 e^8 x^5+2 e^{10} x^6+e^{2 x} \left (128 e^6+32 e^8 x+2 e^{10} x^2\right )+e^x \left (256 e^6 x^2+4 e^{10} x^4+e^3 \left (48 x^3-16 x^4\right )+e^5 \left (64 e^3 x^3+4 x^4-2 x^5\right )\right )\right )}{64 e^6 x^4+16 e^8 x^5+e^{10} x^6+e^{2 x} \left (64 e^6+16 e^8 x+e^{10} x^2\right )+e^x \left (128 e^6 x^2+32 e^8 x^3+2 e^{10} x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((2*x^2*exp(5)^2+32*x*exp(3)*exp(5)+128*exp(3)^2)*exp(x)^2+(4*x^4*exp(5)^2+(64*x^3*exp(3)-2*x^5+4*x^
4)*exp(5)+256*x^2*exp(3)^2+(-16*x^4+48*x^3)*exp(3))*exp(x)+2*x^6*exp(5)^2+32*x^5*exp(3)*exp(5)+128*x^4*exp(3)^
2+16*x^5*exp(3))*exp(x^3/((x*exp(5)+8*exp(3))*exp(x)+x^3*exp(5)+8*x^2*exp(3)))/((x^2*exp(5)^2+16*x*exp(3)*exp(
5)+64*exp(3)^2)*exp(x)^2+(2*x^4*exp(5)^2+32*x^3*exp(3)*exp(5)+128*x^2*exp(3)^2)*exp(x)+x^6*exp(5)^2+16*x^5*exp
(3)*exp(5)+64*x^4*exp(3)^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{64,[0,8,42,46]%%%}+%%%{-768,[0,8,41,46]%%%}+%%%{7168,[0,
8,41,44]%%%

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(74\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{3-e^{e^{-\frac {4}{\log (x)}} \left (x+e^{\frac {4}{\log (x)}} \left (65536+512 x+x^2\right )\right )}+e^{-\frac {4}{\log (x)}} \left (x+e^{\frac {4}{\log (x)}} \left (65536+512 x+x^2\right )\right )-\frac {4}{\log (x)}} \left (-4-\log ^2(x)+e^{\frac {4}{\log (x)}} (-512-2 x) \log ^2(x)\right )}{\log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-2*x-512)*log(x)^2*exp(4/log(x))-log(x)^2-4)*exp(((x^2+512*x+65536)*exp(4/log(x))+x)/exp(4/log(x))
)*exp(-exp(((x^2+512*x+65536)*exp(4/log(x))+x)/exp(4/log(x)))+3)/log(x)^2/exp(4/log(x)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:int(sage0,sageVARx)  Error: Invalid dimension

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(176\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5+\left (-2-36 x^2-e^{2 x} x^2-24 x^3-4 x^4+e^x \left (12 x^2+4 x^3\right )\right ) \log \left (\frac {1}{2} \left (4+e^x\right )\right )}{\log \left (\frac {1}{2} \left (4+e^x\right )\right )}} \left (-5 e^x+\left (-288 x-288 x^2-64 x^3+e^{3 x} \left (-2 x-2 x^2\right )+e^x \left (24 x+24 x^2\right )+e^{2 x} \left (16 x+16 x^2+4 x^3\right )\right ) \log ^2\left (\frac {1}{2} \left (4+e^x\right )\right )\right )}{\left (4+e^x\right ) \log ^2\left (\frac {1}{2} \left (4+e^x\right )\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-2*x^2-2*x)*exp(x)^3+(4*x^3+16*x^2+16*x)*exp(x)^2+(24*x^2+24*x)*exp(x)-64*x^3-288*x^2-288*x)*log(
1/2*exp(x)+2)^2-5*exp(x))*exp(((-exp(x)^2*x^2+(4*x^3+12*x^2)*exp(x)-4*x^4-24*x^3-36*x^2-2)*log(1/2*exp(x)+2)+5
)/log(1/2*exp(x)+2))/(exp(x)+4)/log(1/2*exp(x)+2)^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-8000,[0,3,3]%%%}+%%%{-36000,[0,3,2]%%%}+%%%{-36000,[0,3
,1]%%%} / %

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(286\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-7 x+\frac {1}{9} e^{5+2 x} x+e^5 \left (24 x-10 x^2+x^3\right )+\frac {1}{3} e^x \left (x+x^2+e^5 \left (11 x-2 x^2\right )\right )\right ) \log ^2(x)+e^{\frac {4}{\log (x)}} \left (-\frac {4 e^{5+x}}{3}+e^5 (-20+4 x)+\left (e^5 x-\frac {1}{3} e^{5+x} x\right ) \log ^2(x)\right )}{\left (\frac {1}{9} e^{5+2 x} x+\frac {1}{3} e^{5+x} \left (10 x-2 x^2\right )+e^5 \left (25 x-10 x^2+x^3\right )\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-x*exp(5)*exp(-log(3)+x)+x*exp(5))*log(x)^2-4*exp(5)*exp(-log(3)+x)+(4*x-20)*exp(5))*exp(4/log(x)
)+(x*exp(5)*exp(-log(3)+x)^2+((-2*x^2+11*x)*exp(5)+x^2+x)*exp(-log(3)+x)+(x^3-10*x^2+24*x)*exp(5)-7*x)*log(x)^
2)/(x*exp(5)*exp(-log(3)+x)^2+(-2*x^2+10*x)*exp(5)*exp(-log(3)+x)+(x^3-10*x^2+25*x)*exp(5))/log(x)^2,x, algori
thm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-128,[0,6,2,0,0]%%%}+%%%{-256,[0,6,1,1,0]%%%}+%%%{768,[0
,6,1,0,0]%%

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(315\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3 x-x^2+x^{-\frac {x}{-10+5 x}}+9 x^2 \log (x)}{x}} \left (160 x^2-160 x^3+40 x^4+\left (180 x^2-180 x^3+45 x^4\right ) \log (x)+x^{-\frac {x}{-10+5 x}} \left (-20+22 x-6 x^2+2 x \log (x)\right )\right )}{20 x^2-20 x^3+5 x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((2*x*log(x)-6*x^2+22*x-20)*exp(-x*log(x)/(5*x-10))+(45*x^4-180*x^3+180*x^2)*log(x)+40*x^4-160*x^3+1
60*x^2)*exp((exp(-x*log(x)/(5*x-10))+9*x^2*log(x)-x^2+3*x)/x)/(5*x^4-20*x^3+20*x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-2880000,[1,8]%%%}+%%%{25920000,[1,7]%%%} / %%%{1600000,
[0,6]%%%} E

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(413\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} \left (-3 e^5 x-6 x^2+\left (-3 e^5 x-6 x^2\right ) \log (x)-2 e^{\frac {-3 x+(1-3 x) \log (x)}{x^2 \log (x)}} x^3 \log ^2(x)+\left (e^5 (2-3 x)+4 x-6 x^2-2 x^3\right ) \log ^2(x)\right )}{\left (e^{10} x^3+4 e^5 x^4+4 x^5\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-2*x^3*log(x)^2*exp(((1-3*x)*log(x)-3*x)/x^2/log(x))+((2-3*x)*exp(5)-2*x^3-6*x^2+4*x)*log(x)^2+(-3*
x*exp(5)-6*x^2)*log(x)-3*x*exp(5)-6*x^2)/(x^3*exp(5)^2+4*x^4*exp(5)+4*x^5)/log(x)^2/exp(((1-3*x)*log(x)-3*x)/x
^2/log(x)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-13824,[0,25,0]%%%}+%%%{-48384,[0,24,1]%%%}+%%%{-72576,[
0,23,2]%%%}

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(433\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-11 x-x^2+e^{x^2} (10+x)+e^{\frac {e^x}{2 x}} \left (-e^{x^2}+x\right )}{-10+e^{\frac {e^x}{2 x}}-x}} \left (220 x+40 x^2+2 x^3+e^{\frac {e^x}{x}} \left (2 x-4 e^{x^2} x^2\right )+e^{x^2} \left (-400 x^2-80 x^3-4 x^4\right )+e^{\frac {e^x}{2 x}} \left (e^x (-1+x)-42 x-4 x^2+e^{x^2} \left (80 x^2+8 x^3\right )\right )\right )}{200 x+2 e^{\frac {e^x}{x}} x+40 x^2+2 x^3+e^{\frac {e^x}{2 x}} \left (-40 x-4 x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-4*x^2*exp(x^2)+2*x)*exp(1/2*exp(x)/x)^2+((8*x^3+80*x^2)*exp(x^2)+(-1+x)*exp(x)-4*x^2-42*x)*exp(1/
2*exp(x)/x)+(-4*x^4-80*x^3-400*x^2)*exp(x^2)+2*x^3+40*x^2+220*x)*exp(((-exp(x^2)+x)*exp(1/2*exp(x)/x)+(x+10)*e
xp(x^2)-x^2-11*x)/(exp(1/2*exp(x)/x)-x-10))/(2*x*exp(1/2*exp(x)/x)^2+(-4*x^2-40*x)*exp(1/2*exp(x)/x)+2*x^3+40*
x^2+200*x),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-32,[0,8,9,6,25]%%%}+%%%{-1696,[0,8,9,6,24]%%%}+%%%{-352
32,[0,8,9,6

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(445\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {41958+104976 x+122472 x^2+81648 x^3+34020 x^4+9072 x^5+1512 x^6+144 x^7+6 x^8}{19683 x+52488 x^2+61236 x^3+40824 x^4+17010 x^5+4536 x^6+756 x^7+72 x^8+3 x^9+e^{2 x} \left (6561 x+17496 x^2+20412 x^3+13608 x^4+5670 x^5+1512 x^6+252 x^7+24 x^8+x^9\right )}} \left (-377622-1132866 x-1417176 x^2-1102248 x^3-551124 x^4-183708 x^5-40824 x^6-5832 x^7-486 x^8-18 x^9+e^{2 x} \left (-125874-629370 x-1186164 x^2-1312200 x^3-918540 x^4-428652 x^5-136080 x^6-29160 x^7-4050 x^8-330 x^9-12 x^{10}\right )\right )}{177147 x^2+531441 x^3+708588 x^4+551124 x^5+275562 x^6+91854 x^7+20412 x^8+2916 x^9+243 x^{10}+9 x^{11}+e^{4 x} \left (19683 x^2+59049 x^3+78732 x^4+61236 x^5+30618 x^6+10206 x^7+2268 x^8+324 x^9+27 x^{10}+x^{11}\right )+e^{2 x} \left (118098 x^2+354294 x^3+472392 x^4+367416 x^5+183708 x^6+61236 x^7+13608 x^8+1944 x^9+162 x^{10}+6 x^{11}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-12*x^10-330*x^9-4050*x^8-29160*x^7-136080*x^6-428652*x^5-918540*x^4-1312200*x^3-1186164*x^2-62937
0*x-125874)*exp(x)^2-18*x^9-486*x^8-5832*x^7-40824*x^6-183708*x^5-551124*x^4-1102248*x^3-1417176*x^2-1132866*x
-377622)*exp((6*x^8+144*x^7+1512*x^6+9072*x^5+34020*x^4+81648*x^3+122472*x^2+104976*x+41958)/((x^9+24*x^8+252*
x^7+1512*x^6+5670*x^5+13608*x^4+20412*x^3+17496*x^2+6561*x)*exp(x)^2+3*x^9+72*x^8+756*x^7+4536*x^6+17010*x^5+4
0824*x^4+61236*x^3+52488*x^2+19683*x))/((x^11+27*x^10+324*x^9+2268*x^8+10206*x^7+30618*x^6+61236*x^5+78732*x^4
+59049*x^3+19683*x^2)*exp(x)^4+(6*x^11+162*x^10+1944*x^9+13608*x^8+61236*x^7+183708*x^6+367416*x^5+472392*x^4+
354294*x^3+118098*x^2)*exp(x)^2+9*x^11+243*x^10+2916*x^9+20412*x^8+91854*x^7+275562*x^6+551124*x^5+708588*x^4+
531441*x^3+177147*x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-864,[1,61]%%%}+%%%{-140832,[1,60]%%%}+%%%{-11267640,[1,
59]%%%}+%%%

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(595\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{9 x+6 x^2+x^3+\frac {e^{5+x} \left (-6 x-2 x^2\right ) (1+x \log (x))}{\log (x)}+\frac {e^{10+2 x} x (1+x \log (x))^2}{\log ^2(x)}}} \left ((3+3 x) \log (x)+\left (3 x+3 x^2\right ) \log ^2(x)+\frac {e^{5+x} (1+x \log (x)) \left (2+(-1-2 x) \log (x)+\left (-3 x-2 x^2\right ) \log ^2(x)\right )}{\log (x)}\right )}{\left (-27 x^2-27 x^3-9 x^4-x^5\right ) \log (x)+\left (-27 x^3-27 x^4-9 x^5-x^6\right ) \log ^2(x)+\frac {e^{15+3 x} (1+x \log (x))^3 \left (x^2 \log (x)+x^3 \log ^2(x)\right )}{\log ^3(x)}+\frac {e^{10+2 x} (1+x \log (x))^2 \left (\left (-9 x^2-3 x^3\right ) \log (x)+\left (-9 x^3-3 x^4\right ) \log ^2(x)\right )}{\log ^2(x)}+\frac {e^{5+x} (1+x \log (x)) \left (\left (27 x^2+18 x^3+3 x^4\right ) \log (x)+\left (27 x^3+18 x^4+3 x^5\right ) \log ^2(x)\right )}{\log (x)}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-2*x^2-3*x)*log(x)^2+(-1-2*x)*log(x)+2)*exp(log((x*log(x)+1)/log(x))+5+x)+(3*x^2+3*x)*log(x)^2+(3
*x+3)*log(x))*exp(1/(x*exp(log((x*log(x)+1)/log(x))+5+x)^2+(-2*x^2-6*x)*exp(log((x*log(x)+1)/log(x))+5+x)+x^3+
6*x^2+9*x))/((x^3*log(x)^2+x^2*log(x))*exp(log((x*log(x)+1)/log(x))+5+x)^3+((-3*x^4-9*x^3)*log(x)^2+(-3*x^3-9*
x^2)*log(x))*exp(log((x*log(x)+1)/log(x))+5+x)^2+((3*x^5+18*x^4+27*x^3)*log(x)^2+(3*x^4+18*x^3+27*x^2)*log(x))
*exp(log((x*log(x)+1)/log(x))+5+x)+(-x^6-9*x^5-27*x^4-27*x^3)*log(x)^2+(-x^5-9*x^4-27*x^3-27*x^2)*log(x)),x, a
lgorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Not invertible Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(601\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-8 x^2+2 x^3-2 x^4\right ) \log (5) \log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right )+\left (16-8 x+12 x^2+\left (-4 x^2+2 x^3-3 x^4\right ) \log (5)\right ) \log \left (-4+x^2 \log (5)\right )+\left (8 x^2-2 x^3+2 x^4\right ) \log (5) \log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right ) \log \left (\log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right )\right )}{\left (-16 x+4 x^2-4 x^3+\left (4 x^3-x^4+x^5\right ) \log (5)\right ) \log \left (\frac {1}{4} \left (-4 x+x^2-x^3\right )\right ) \log ^2\left (-4+x^2 \log (5)\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((2*x^4-2*x^3+8*x^2)*log(5)*log(-1/4*x^3+1/4*x^2-x)*log(log(-1/4*x^3+1/4*x^2-x))+((-3*x^4+2*x^3-4*x^
2)*log(5)+12*x^2-8*x+16)*log(x^2*log(5)-4)+(-2*x^4+2*x^3-8*x^2)*log(5)*log(-1/4*x^3+1/4*x^2-x))/((x^5-x^4+4*x^
3)*log(5)-4*x^3+4*x^2-16*x)/log(-1/4*x^3+1/4*x^2-x)/log(x^2*log(5)-4)^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(700\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {40 x+9 e^x x+9 x^2-20 \log (2)}{e^x x+x^2}} \left (-40 x^2+40 x \log (2)+e^x \left (-40 x^2+(20+20 x) \log (2)\right )\right )}{e^{2 x} x^2+2 e^x x^3+x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((20*x+20)*log(2)-40*x^2)*exp(x)+40*x*log(2)-40*x^2)*exp((9*exp(x)*x-20*log(2)+9*x^2+40*x)/(exp(x)*
x+x^2))/(exp(x)^2*x^2+2*exp(x)*x^3+x^4),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{640,[1,15,0]%%%}+%%%{-1600,[1,14,1]%%%}+%%%{-1920,[1,14,
0]%%%}+%%%{

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(716\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (50-10 e^x-10 x\right ) \log ^2\left (-5+e^x+x\right )+e^{\frac {2 x-2 x^2}{\log \left (-5+e^x+x\right )}} \left (-4 x^3+8 x^4-4 x^5+e^x \left (-4 x^3+8 x^4-4 x^5\right )+\left (-20 x^2+64 x^3-52 x^4+8 x^5+e^x \left (4 x^2-12 x^3+8 x^4\right )\right ) \log \left (-5+e^x+x\right )+\left (-20 x+34 x^2-6 x^3+e^x \left (4 x-6 x^2\right )\right ) \log ^2\left (-5+e^x+x\right )\right )}{\left (-125 x^2+25 e^x x^2+25 x^3\right ) \log ^2\left (-5+e^x+x\right )+e^{\frac {2 x-2 x^2}{\log \left (-5+e^x+x\right )}} \left (50 x^3-60 x^4+10 x^5+e^x \left (-10 x^3+10 x^4\right )\right ) \log ^2\left (-5+e^x+x\right )+e^{\frac {2 \left (2 x-2 x^2\right )}{\log \left (-5+e^x+x\right )}} \left (-5 x^4+11 x^5-7 x^6+x^7+e^x \left (x^4-2 x^5+x^6\right )\right ) \log ^2\left (-5+e^x+x\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((((-6*x^2+4*x)*exp(x)-6*x^3+34*x^2-20*x)*log(exp(x)+x-5)^2+((8*x^4-12*x^3+4*x^2)*exp(x)+8*x^5-52*x^
4+64*x^3-20*x^2)*log(exp(x)+x-5)+(-4*x^5+8*x^4-4*x^3)*exp(x)-4*x^5+8*x^4-4*x^3)*exp((-2*x^2+2*x)/log(exp(x)+x-
5))+(-10*exp(x)-10*x+50)*log(exp(x)+x-5)^2)/(((x^6-2*x^5+x^4)*exp(x)+x^7-7*x^6+11*x^5-5*x^4)*log(exp(x)+x-5)^2
*exp((-2*x^2+2*x)/log(exp(x)+x-5))^2+((10*x^4-10*x^3)*exp(x)+10*x^5-60*x^4+50*x^3)*log(exp(x)+x-5)^2*exp((-2*x
^2+2*x)/log(exp(x)+x-5))+(25*exp(x)*x^2+25*x^3-125*x^2)*log(exp(x)+x-5)^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{8,[0,10,17]%%%}+%%%{-96,[0,10,16]%%%}+%%%{448,[0,10,15]%
%%}+%%%{-11

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(899\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {12+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} (3-3 x)-11 x}{-4+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} (-1+x)+4 x}} \left (-4+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} \left (-1+e^{2 x} \left (2 x-2 x^2\right )+e^x \left (-2 x+2 x^2\right ) \log \left (\frac {13}{4}\right )\right )\right )}{16-32 x+16 x^2+e^{2 e^{2 x}-4 e^x \log \left (\frac {13}{4}\right )+2 \log ^2\left (\frac {13}{4}\right )} \left (1-2 x+x^2\right )+e^{e^{2 x}-2 e^x \log \left (\frac {13}{4}\right )+\log ^2\left (\frac {13}{4}\right )} \left (8-16 x+8 x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-2*x^2+2*x)*exp(x)^2+(2*x^2-2*x)*log(13/4)*exp(x)-1)*exp(exp(x)^2-2*log(13/4)*exp(x)+log(13/4)^2)
-4)*exp(((-3*x+3)*exp(exp(x)^2-2*log(13/4)*exp(x)+log(13/4)^2)-11*x+12)/((-1+x)*exp(exp(x)^2-2*log(13/4)*exp(x
)+log(13/4)^2)+4*x-4))/((x^2-2*x+1)*exp(exp(x)^2-2*log(13/4)*exp(x)+log(13/4)^2)^2+(8*x^2-16*x+8)*exp(exp(x)^2
-2*log(13/4)*exp(x)+log(13/4)^2)+16*x^2-32*x+16),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{524288,[0,8,12,22,1,1,8]%%%}+%%%{-7864320,[0,8,12,21,1,1
,8]%%%}+%%%

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1040\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {8-6 x+5 x^2-x^3-x^4+e^{4 e^{x^2} x} \left (4-5 x+x^2+x^3\right )}{e^{4 e^{x^2} x} (-4+x)+4 x-x^2}} \left (-32+16 x+14 x^2-8 x^3-11 x^4+2 x^5+e^{8 e^{x^2} x} \left (16-8 x-11 x^2+2 x^3\right )+e^{4 e^{x^2} x} \left (-32 x+16 x^2+22 x^3-4 x^4+e^{x^2} \left (128-64 x+264 x^2-128 x^3+16 x^4\right )\right )\right )}{16 x^2-8 x^3+x^4+e^{8 e^{x^2} x} \left (16-8 x+x^2\right )+e^{4 e^{x^2} x} \left (-32 x+16 x^2-2 x^3\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((2*x^3-11*x^2-8*x+16)*exp(4*exp(x^2)*x)^2+((16*x^4-128*x^3+264*x^2-64*x+128)*exp(x^2)-4*x^4+22*x^3+
16*x^2-32*x)*exp(4*exp(x^2)*x)+2*x^5-11*x^4-8*x^3+14*x^2+16*x-32)*exp(((x^3+x^2-5*x+4)*exp(4*exp(x^2)*x)-x^4-x
^3+5*x^2-6*x+8)/((x-4)*exp(4*exp(x^2)*x)-x^2+4*x))/((x^2-8*x+16)*exp(4*exp(x^2)*x)^2+(-2*x^3+16*x^2-32*x)*exp(
4*exp(x^2)*x)+x^4-8*x^3+16*x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{4194304,[0,6,35]%%%}+%%%{-257949696,[0,6,34]%%%}+%%%{739
4557952,[0,

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1125\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1+x \log (x)}{\left (-25 x+5 e^x x-5 x^2\right ) \log (x)}} \left (5-e^x+x+\left (5+e^x (-1-x)+2 x\right ) \log (x)+\left (x^2-e^x x^2\right ) \log ^2(x)\right )}{e^{\frac {1+x \log (x)}{\left (-25 x+5 e^x x-5 x^2\right ) \log (x)}} \left (125 x^2+5 e^{2 x} x^2+50 x^3+5 x^4+e^x \left (-50 x^2-10 x^3\right )\right ) \log ^2(x)+\left (-250 x^2-10 e^{2 x} x^2-100 x^3-10 x^4+e^x \left (100 x^2+20 x^3\right )\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-exp(x)*x^2+x^2)*log(x)^2+((-1-x)*exp(x)+5+2*x)*log(x)+x-exp(x)+5)*exp((x*log(x)+1)/(5*exp(x)*x-5*
x^2-25*x)/log(x))/((5*exp(x)^2*x^2+(-10*x^3-50*x^2)*exp(x)+5*x^4+50*x^3+125*x^2)*log(x)^2*exp((x*log(x)+1)/(5*
exp(x)*x-5*x^2-25*x)/log(x))+(-10*exp(x)^2*x^2+(20*x^3+100*x^2)*exp(x)-10*x^4-100*x^3-250*x^2)*log(x)^2),x, al
gorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:exp(sageVARx)^2=exp(2*sageVARx)exp(sageVARx)^2=exp(2*sageVARx)exp(sageVARx)^2=exp(2*sageVARx)exp(sageVARx)^
2=exp(2*sag

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1158\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{4} \left (15-4 e^x+20 x-5 \log (3)\right )} \left (-e^x x \log (4)+(-1+5 x) \log (4)\right )}{x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-2*x*log(2)*exp(x)+2*(5*x-1)*log(2))/x^2/exp(exp(x)+5/4*log(3)-5*x-15/4),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Polynomial exponent overflow. Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1392\)

Giac [F(-2)]

Exception generated. \[ \int \frac {68 x^4-68 x^5+17 x^6+e^{-2 x^2+2 x^3} \left (68-68 x+17 x^2\right )+e^{-\frac {x}{-2+x}} \left (-128 x+160 x^2-32 x^3\right )+e^{-x^2+x^3} \left (-136 x^2+136 x^3-34 x^4+e^{-\frac {x}{-2+x}} \left (-32-128 x+320 x^2-224 x^3+48 x^4\right )\right )}{64 x^4-64 x^5+16 x^6+e^{-2 x^2+2 x^3} \left (64-64 x+16 x^2\right )+e^{-x^2+x^3} \left (-128 x^2+128 x^3-32 x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((17*x^2-68*x+68)*exp(x^3-x^2)^2+((48*x^4-224*x^3+320*x^2-128*x-32)*exp(-x/(-2+x))-34*x^4+136*x^3-13
6*x^2)*exp(x^3-x^2)+(-32*x^3+160*x^2-128*x)*exp(-x/(-2+x))+17*x^6-68*x^5+68*x^4)/((16*x^2-64*x+64)*exp(x^3-x^2
)^2+(-32*x^4+128*x^3-128*x^2)*exp(x^3-x^2)+16*x^6-64*x^5+64*x^4),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{864,[0,15]%%%}+%%%{-10368,[0,14]%%%}+%%%{52992,[0,13]%%%
}+%%%{-1511

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1400\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {2}{100 x+10 e^{1+e^{e^x}} x}} \left (-10-1500 x-15 e^{2+2 e^{e^x}} x+e^{1+e^{e^x}} \left (-1-300 x-e^{e^x+x} x\right )\right )}{500 x^5+100 e^{1+e^{e^x}} x^5+5 e^{2+2 e^{e^x}} x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((-15*x*exp(exp(exp(x))+1)^2+(-x*exp(x)*exp(exp(x))-300*x-1)*exp(exp(exp(x))+1)-1500*x-10)*exp(1/(10*
x*exp(exp(exp(x))+1)+100*x))^2/(5*x^5*exp(exp(exp(x))+1)^2+100*x^5*exp(exp(exp(x))+1)+500*x^5),x, algorithm="g
iac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{4687500000000,[0,8,6,6,15,8]%%%}+%%%{31250000000,[0,8,6,
6,14,8]%%%}

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1505\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {4+3 x^2-x^3}{12 x^2+2 e^{2 x} x^2}} \left (-48-6 x^3+e^{2 x} \left (-8-8 x-7 x^3+2 x^4\right )\right )}{72 x^3+24 e^{2 x} x^3+2 e^{4 x} x^3} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((2*x^4-7*x^3-8*x-8)*exp(x)^2-6*x^3-48)*exp((-x^3+3*x^2+4)/(2*exp(x)^2*x^2+12*x^2))/(2*x^3*exp(x)^4+
24*exp(x)^2*x^3+72*x^3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-1152,[1,23]%%%}+%%%{18432,[1,22]%%%}+%%%{-117792,[1,21]
%%%}+%%%{39

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1580\)

Giac [F(-2)]

Exception generated. \[ \int -\frac {24 e^{\frac {1}{5} \left (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right )}}{64+16 e^{\frac {1}{5} \left (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right )} x+e^{\frac {2}{5} \left (e^{32}-2 e^{32} \log (2)+e^{32} \log ^2(2)\right )} x^2} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate(-24*exp(1/5*exp(16)^2*log(2)^2-2/5*exp(16)^2*log(2)+1/5*exp(16)^2)/(x^2*exp(1/5*exp(16)^2*log(2)^2-2
/5*exp(16)^2*log(2)+1/5*exp(16)^2)^2+16*x*exp(1/5*exp(16)^2*log(2)^2-2/5*exp(16)^2*log(2)+1/5*exp(16)^2)+64),x
, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: -24*exp(exp(32)*ln(2)^2/5-exp(32)*ln(2)*
2/5+exp(32)/5)*2*1/16/sqrt(-exp(1/5*(exp(32)*ln(2)^2-2*exp(32)*ln(2)+exp(32)))^2+exp(1/5*(2*exp(32)*ln(2)^2-4*
exp(32)*ln(2)+2*exp(3

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1590\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-54 x-6 e^6 x+162 x^2-108 x^3+e^3 \left (-36 x+54 x^2\right )+2^{60/x} x^{60/x} \left (2 x-6 x^2+4 x^3\right )+2^{20/x} x^{20/x} \left (54 x-162 x^2+108 x^3+e^6 (-40+2 x)+e^3 \left (-120+144 x-36 x^2\right )+\left (40 e^6+e^3 (120-120 x)\right ) \log (2 x)\right )+2^{40/x} x^{40/x} \left (-18 x+54 x^2-36 x^3+e^3 \left (40-44 x+6 x^2\right )+e^3 (-40+40 x) \log (2 x)\right )}{-27+27\ 2^{20/x} x^{20/x}-9\ 2^{40/x} x^{40/x}+2^{60/x} x^{60/x}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((4*x^3-6*x^2+2*x)*exp(20*log(2*x)/x)^3+((40*x-40)*exp(3)*log(2*x)+(6*x^2-44*x+40)*exp(3)-36*x^3+54*
x^2-18*x)*exp(20*log(2*x)/x)^2+((40*exp(3)^2+(-120*x+120)*exp(3))*log(2*x)+(2*x-40)*exp(3)^2+(-36*x^2+144*x-12
0)*exp(3)+108*x^3-162*x^2+54*x)*exp(20*log(2*x)/x)-6*x*exp(3)^2+(54*x^2-36*x)*exp(3)-108*x^3+162*x^2-54*x)/(ex
p(20*log(2*x)/x)^3-9*exp(20*log(2*x)/x)^2+27*exp(20*log(2*x)/x)-27),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{265420800000,[1,10,15,0]%%%}+%%%{-3981312000000,[1,10,14
,0]%%%}+%%%

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1628\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-64+32 x+152 x^2+12 x^3+47 x^4-24 x^5+3 x^6}{\left (-64 x+48 x^3+8 x^4+15 x^5-8 x^6+x^7+\left (64+16 x^2-8 x^3+x^4\right ) \log \left (\frac {1}{16} \left (320+80 x^2-40 x^3+5 x^4\right )\right )\right ) \log \left (x-x^3-\log \left (\frac {1}{16} \left (320+80 x^2-40 x^3+5 x^4\right )\right )\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((3*x^6-24*x^5+47*x^4+12*x^3+152*x^2+32*x-64)/((x^4-8*x^3+16*x^2+64)*log(5/16*x^4-5/2*x^3+5*x^2+20)+x
^7-8*x^6+15*x^5+8*x^4+48*x^3-64*x)/log(-log(5/16*x^4-5/2*x^3+5*x^2+20)-x^3+x),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{poly1[30468481522675443878296491324449711363425260500
24030208,-1

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1802\)

Giac [F(-2)]

Exception generated. \[ \int \frac {2 e^{16}+2 e^{2 e^x}+8 e^{12} x+2 x^2+4 x^3+2 x^4+e^{e^x} \left (-4 e^8-4 x-8 e^4 x-4 x^2\right )+e^8 \left (4 x+12 x^2\right )+e^4 \left (8 x^2+8 x^3\right )+\left (2 e^{2 e^x+x} x \log \left (16 x^2\right )+e^{e^x} \left (-2 x-4 e^4 x-4 x^2+e^x \left (-2 e^8 x-2 x^2-4 e^4 x^2-2 x^3\right )\right ) \log \left (16 x^2\right )+\left (4 e^{12} x+2 x^2+6 x^3+4 x^4+e^8 \left (2 x+12 x^2\right )+e^4 \left (8 x^2+12 x^3\right )\right ) \log \left (16 x^2\right )\right ) \log \left (\frac {1}{4} \log \left (16 x^2\right )\right )}{x \log \left (16 x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((2*x*exp(x)*log(16*x^2)*exp(exp(x))^2+((-2*x*exp(4)^2-4*x^2*exp(4)-2*x^3-2*x^2)*exp(x)-4*x*exp(4)-4
*x^2-2*x)*log(16*x^2)*exp(exp(x))+(4*x*exp(4)^3+(12*x^2+2*x)*exp(4)^2+(12*x^3+8*x^2)*exp(4)+4*x^4+6*x^3+2*x^2)
*log(16*x^2))*log(1/4*log(16*x^2))+2*exp(exp(x))^2+(-4*exp(4)^2-8*x*exp(4)-4*x^2-4*x)*exp(exp(x))+2*exp(4)^4+8
*x*exp(4)^3+(12*x^2+4*x)*exp(4)^2+(8*x^3+8*x^2)*exp(4)+2*x^4+4*x^3+2*x^2)/x/log(16*x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:ln of unsigned or minus infinity Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2383\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-4 x/9} \left (e^{4 x/9} \left (e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6\right ) \log (x)+\left (324 e^5-324 x\right ) \log ^3(\log (x))+\left (324 x-36 e^5 x+36 x^2\right ) \log (x) \log ^4(\log (x))\right )}{\left (e^{25} x-5 e^{20} x^2+10 e^{15} x^3-10 e^{10} x^4+5 e^5 x^5-x^6\right ) \log (x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-36*x*exp(5)+36*x^2+324*x)*log(x)*log(log(x))^4+(324*exp(5)-324*x)*log(log(x))^3+(x*exp(5)^5-5*x^2
*exp(5)^4+10*x^3*exp(5)^3-10*x^4*exp(5)^2+5*x^5*exp(5)-x^6)*exp(1/9*x)^4*log(x))/(x*exp(5)^5-5*x^2*exp(5)^4+10
*x^3*exp(5)^3-10*x^4*exp(5)^2+5*x^5*exp(5)-x^6)/exp(1/9*x)^4/log(x),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Polynomial exponent overflow. Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2388\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x^2+x \log (x)}{-x+\log \left (\frac {e^6 \left (9 x^2-6 x^3+x^4\right )+e^3 \left (-6 x+2 x^2\right ) \log (x)+\log ^2(x)}{e^6 x^2}\right )}} \left (-2 x+e^3 \left (3 x^2-x^4\right )+\left (-2+x-x^2-2 e^3 x^2\right ) \log (x)+2 \log ^2(x)+\left (e^3 \left (-3 x-5 x^2+2 x^3\right )+\left (1+2 x+e^3 \left (-3 x+x^2\right )\right ) \log (x)+\log ^2(x)\right ) \log \left (\frac {e^6 \left (9 x^2-6 x^3+x^4\right )+e^3 \left (-6 x+2 x^2\right ) \log (x)+\log ^2(x)}{e^6 x^2}\right )\right )}{e^3 \left (-3 x^3+x^4\right )+x^2 \log (x)+\left (e^3 \left (6 x^2-2 x^3\right )-2 x \log (x)\right ) \log \left (\frac {e^6 \left (9 x^2-6 x^3+x^4\right )+e^3 \left (-6 x+2 x^2\right ) \log (x)+\log ^2(x)}{e^6 x^2}\right )+\left (e^3 \left (-3 x+x^2\right )+\log (x)\right ) \log ^2\left (\frac {e^6 \left (9 x^2-6 x^3+x^4\right )+e^3 \left (-6 x+2 x^2\right ) \log (x)+\log ^2(x)}{e^6 x^2}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((log(x)^2+((x^2-3*x)*exp(3)+2*x+1)*log(x)+(2*x^3-5*x^2-3*x)*exp(3))*log((log(x)^2+(2*x^2-6*x)*exp(3
)*log(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x^2/exp(3)^2)+2*log(x)^2+(-2*x^2*exp(3)-x^2+x-2)*log(x)+(-x^4+3*x^2)*exp(
3)-2*x)*exp((x*log(x)+x^2)/(log((log(x)^2+(2*x^2-6*x)*exp(3)*log(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x^2/exp(3)^2)-
x))/((log(x)+(x^2-3*x)*exp(3))*log((log(x)^2+(2*x^2-6*x)*exp(3)*log(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x^2/exp(3)^
2)^2+(-2*x*log(x)+(-2*x^3+6*x^2)*exp(3))*log((log(x)^2+(2*x^2-6*x)*exp(3)*log(x)+(x^4-6*x^3+9*x^2)*exp(3)^2)/x
^2/exp(3)^2)+x^2*log(x)+(x^4-3*x^3)*exp(3)),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{1,[0,11,8,8,0]%%%}+%%%{5,[0,11,8,7,0]%%%}+%%%{-40,[0,11,
8,5,0]%%%}+

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2405\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {4 e^{e^2}}{\log \left (\frac {27+12 x}{x}\right )}} \left (36 e^{e^2} \log (x)+(9+4 x) \log ^2\left (\frac {27+12 x}{x}\right )\right )}{\left (9 x+4 x^2\right ) \log ^2\left (\frac {27+12 x}{x}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((9*exp(2*log(2)+exp(2))*log(x)+(4*x+9)*log((12*x+27)/x)^2)*exp(exp(2*log(2)+exp(2))/log((12*x+27)/x)
)/(4*x^2+9*x)/log((12*x+27)/x)^2,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{186624,[0,0,1,3]%%%}+%%%{419904,[0,0,0,3]%%%} / %%%{1866
24,[0,0,2,3

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2555\)

Giac [F(-2)]

Exception generated. \[ \int \frac {20 e^{2 x}+40 e^x x+20 x^2+e^{\frac {9 x+8 x^3+e^x \left (4+8 x^2\right )}{10 e^x+10 x}} \left (32 e^{2 x} x+32 x^3+e^x \left (10-10 x+64 x^2\right )\right )}{5 e^{2 x}+10 e^x x+5 x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((32*x*exp(x)^2+(64*x^2-10*x+10)*exp(x)+32*x^3)*exp(((8*x^2+4)*exp(x)+8*x^3+9*x)/(10*exp(x)+10*x))+2
0*exp(x)^2+40*exp(x)*x+20*x^2)/(5*exp(x)^2+10*exp(x)*x+5*x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-80000000,[1,12]%%%}+%%%{220000000,[1,11]%%%}+%%%{-80000
000,[1,10]%

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2601\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-1+2 x+e^{-2+e^4} (-20+40 x)+e^{-4+2 e^4} \left (-158+313 x+4 x^2\right )+e^{-6+3 e^4} \left (-580+1130 x+40 x^2\right )+e^{-8+4 e^4} \left (-841+1595 x+115 x^2+2 x^3\right )}{x+20 e^{-2+e^4} x+e^{-4+2 e^4} \left (158 x+2 x^2\right )+e^{-6+3 e^4} \left (580 x+20 x^2\right )+e^{-8+4 e^4} \left (841 x+58 x^2+x^3\right )} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate(((2*x^3+115*x^2+1595*x-841)*exp(exp(4)-2)^4+(40*x^2+1130*x-580)*exp(exp(4)-2)^3+(4*x^2+313*x-158)*ex
p(exp(4)-2)^2+(40*x-20)*exp(exp(4)-2)+2*x-1)/((x^3+58*x^2+841*x)*exp(exp(4)-2)^4+(20*x^2+580*x)*exp(exp(4)-2)^
3+(2*x^2+158*x)*exp(exp(4)-2)^2+20*x*exp(exp(4)-2)+x),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: -ln(abs(sageVARx))+(-58*exp(4*exp(4)-8)-
20*exp(3*exp(4)-6)-2*exp(2*exp(4)-4))*1/2/sqrt(-exp(2*exp(4)-4)^2-20*exp(2*exp(4)-4)*exp(3*exp(4)-6)+100*exp(2
*exp(4)-4)*exp(4*exp(

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2633\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {4-4 x-3 x^2+2 x^3+x^4}{x-2 e^{e^8 x} x+e^{2 e^8 x} x}} \left (4+3 x^2-4 x^3-3 x^4+e^{e^8 x} \left (-4-3 x^2+4 x^3+3 x^4+e^8 \left (-8 x+8 x^2+6 x^3-4 x^4-2 x^5\right )\right )\right )}{-x^2+3 e^{e^8 x} x^2-3 e^{2 e^8 x} x^2+e^{3 e^8 x} x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-2*x^5-4*x^4+6*x^3+8*x^2-8*x)*exp(4)^2+3*x^4+4*x^3-3*x^2-4)*exp(x*exp(4)^2)-3*x^4-4*x^3+3*x^2+4)*
exp((x^4+2*x^3-3*x^2-4*x+4)/(x*exp(x*exp(4)^2)^2-2*x*exp(x*exp(4)^2)+x))/(x^2*exp(x*exp(4)^2)^3-3*x^2*exp(x*ex
p(4)^2)^2+3*x^2*exp(x*exp(4)^2)-x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-96,[2,24,6]%%%}+%%%{-704,[2,23,6]%%%}+%%%{288,[2,23,5]%
%%}+%%%{-96

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2912\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1+x-3 x^3-6 x^4-3 x^5}{5 e^x x^2-5 x^3}} \left (3 x+2 x^2+6 x^5+6 x^6+e^x \left (-2-2 x-x^2-3 x^3-9 x^4-3 x^5+3 x^6\right )\right )}{5 e^{2 x} x^3-10 e^x x^4+5 x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((3*x^6-3*x^5-9*x^4-3*x^3-x^2-2*x-2)*exp(x)+6*x^6+6*x^5+2*x^2+3*x)*exp((-3*x^5-6*x^4-3*x^3+x+1)/(5*e
xp(x)*x^2-5*x^3))/(5*exp(x)^2*x^3-10*exp(x)*x^4+5*x^5),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{6075,[1,36]%%%}+%%%{6075,[1,35]%%%}+%%%{-66825,[1,34]%%%
}+%%%{-1154

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3034\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3-e^x-5 x+x^2}{x}} \left (6-5 x-x^2-x^3+e^x \left (-2+x+x^2\right )+\left (-12+e^x (4-4 x)+4 x^2\right ) \log \left (x^2\right )\right )}{4 x^2+4 x^3+x^4+\left (-16 x^2-8 x^3\right ) \log \left (x^2\right )+16 x^2 \log ^2\left (x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((4-4*x)*exp(x)+4*x^2-12)*log(x^2)+(x^2+x-2)*exp(x)-x^3-x^2-5*x+6)*exp((-exp(x)+x^2-5*x+3)/x)/(16*x
^2*log(x^2)^2+(-8*x^3-16*x^2)*log(x^2)+x^4+4*x^3+4*x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-4,[0,1,9]%%%}+%%%{68,[0,1,8]%%%}+%%%{-320,[0,1,7]%%%}+%
%%{256,[0,1

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3096\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-1000-5000 x-6200 x^2-2900 x^3-1000 x^4-1000 x^5-400 x^6+\left (200+1850 x+1600 x^2+350 x^3+300 x^4+300 x^5\right ) \log (5)+\left (-200 x-50 x^2-50 x^4\right ) \log ^2(5)+\left (-200-1850 x-1600 x^2-350 x^3-300 x^4-300 x^5+\left (400 x+100 x^2+100 x^4\right ) \log (5)\right ) \log \left (\frac {x}{4+x+x^3}\right )+\left (-200 x-50 x^2-50 x^4\right ) \log ^2\left (\frac {x}{4+x+x^3}\right )}{256 x^3+448 x^4+288 x^5+144 x^6+104 x^7+48 x^8+8 x^9+\left (-192 x^3-240 x^4-96 x^5-60 x^6-48 x^7-12 x^8\right ) \log (5)+\left (48 x^3+36 x^4+6 x^5+12 x^6+6 x^7\right ) \log ^2(5)+\left (-4 x^3-x^4-x^6\right ) \log ^3(5)+\left (192 x^3+240 x^4+96 x^5+60 x^6+48 x^7+12 x^8+\left (-96 x^3-72 x^4-12 x^5-24 x^6-12 x^7\right ) \log (5)+\left (12 x^3+3 x^4+3 x^6\right ) \log ^2(5)\right ) \log \left (\frac {x}{4+x+x^3}\right )+\left (48 x^3+36 x^4+6 x^5+12 x^6+6 x^7+\left (-12 x^3-3 x^4-3 x^6\right ) \log (5)\right ) \log ^2\left (\frac {x}{4+x+x^3}\right )+\left (4 x^3+x^4+x^6\right ) \log ^3\left (\frac {x}{4+x+x^3}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-50*x^4-50*x^2-200*x)*log(x/(x^3+x+4))^2+((100*x^4+100*x^2+400*x)*log(5)-300*x^5-300*x^4-350*x^3-1
600*x^2-1850*x-200)*log(x/(x^3+x+4))+(-50*x^4-50*x^2-200*x)*log(5)^2+(300*x^5+300*x^4+350*x^3+1600*x^2+1850*x+
200)*log(5)-400*x^6-1000*x^5-1000*x^4-2900*x^3-6200*x^2-5000*x-1000)/((x^6+x^4+4*x^3)*log(x/(x^3+x+4))^3+((-3*
x^6-3*x^4-12*x^3)*log(5)+6*x^7+12*x^6+6*x^5+36*x^4+48*x^3)*log(x/(x^3+x+4))^2+((3*x^6+3*x^4+12*x^3)*log(5)^2+(
-12*x^7-24*x^6-12*x^5-72*x^4-96*x^3)*log(5)+12*x^8+48*x^7+60*x^6+96*x^5+240*x^4+192*x^3)*log(x/(x^3+x+4))+(-x^
6-x^4-4*x^3)*log(5)^3+(6*x^7+12*x^6+6*x^5+36*x^4+48*x^3)*log(5)^2+(-12*x^8-48*x^7-60*x^6-96*x^5-240*x^4-192*x^
3)*log(5)+8*x^9+48*x^8+104*x^7+144*x^6+288*x^5+448*x^4+256*x^3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3124\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-32+2 x^2-16 x^3+24 x^4\right ) \log \left (\frac {-16-x^2+4 x^3-4 x^4}{x}\right )+\left (-16-x^2+4 x^3-4 x^4\right ) \log ^2\left (\frac {-16-x^2+4 x^3-4 x^4}{x}\right )}{64 x^2+4 x^4-16 x^5+16 x^6} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-4*x^4+4*x^3-x^2-16)*log((-4*x^4+4*x^3-x^2-16)/x)^2+(24*x^4-16*x^3+2*x^2-32)*log((-4*x^4+4*x^3-x^2
-16)/x))/(16*x^6-16*x^5+4*x^4+64*x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{%%{poly1[46450893462272555700247723121885101557651700311
39394747419

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3141\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{5+x+\frac {e^{5+x} \left (244-40 x+4 x^2\right )}{36 x+9 e^{2 x} x+36 x^2}} \left (-976-976 x+992 x^2-144 x^3+16 x^4+e^{2 x} \left (-244-244 x+44 x^2-4 x^3\right )\right )}{144 x^2+9 e^{4 x} x^2+288 x^3+144 x^4+e^{2 x} \left (72 x^2+72 x^3\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-4*x^3+44*x^2-244*x-244)*exp(x)^2+16*x^4-144*x^3+992*x^2-976*x-976)*exp(5+x)*exp((4*x^2-40*x+244)*
exp(5+x)/(9*x*exp(x)^2+36*x^2+36*x))/(9*x^2*exp(x)^4+(72*x^3+72*x^2)*exp(x)^2+144*x^4+288*x^3+144*x^2),x, algo
rithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{3962711310336,[0,19,36,2]%%%}+%%%{-974826982342656,[0,19
,35,2]%%%}+

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3180\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-18 x+2 x^3\right ) \log (5)+\left (-18-6 x+\left (-6 x^2-2 x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )+\left (54-18 x+\left (18 x^2-6 x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )+\left (9-3 x+\left (3 x^2-x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right ) \log \left (\log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )\right )}{\left (-81+81 x-27 x^2+3 x^3+\left (-27 x^2+27 x^3-9 x^4+x^5\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )+\left (-54+36 x-6 x^2+\left (-18 x^2+12 x^3-2 x^4\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right ) \log \left (\log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )\right )+\left (-9+3 x+\left (-3 x^2+x^3\right ) \log (5)\right ) \log \left (\frac {3+x^2 \log (5)}{\log (5)}\right ) \log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right ) \log ^2\left (\log \left (\frac {\log \left (\frac {3+x^2 \log (5)}{\log (5)}\right )}{9-6 x+x^2}\right )\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((-x^3+3*x^2)*log(5)-3*x+9)*log((x^2*log(5)+3)/log(5))*log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9))*
log(log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9)))+((-6*x^3+18*x^2)*log(5)-18*x+54)*log((x^2*log(5)+3)/log(5))*l
og(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9))+((-2*x^3-6*x^2)*log(5)-6*x-18)*log((x^2*log(5)+3)/log(5))+(2*x^3-18
*x)*log(5))/(((x^3-3*x^2)*log(5)+3*x-9)*log((x^2*log(5)+3)/log(5))*log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9))
*log(log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9)))^2+((-2*x^4+12*x^3-18*x^2)*log(5)-6*x^2+36*x-54)*log((x^2*log
(5)+3)/log(5))*log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9))*log(log(log((x^2*log(5)+3)/log(5))/(x^2-6*x+9)))+((
x^5-9*x^4+27*x^3-27*x^2)*log(5)+3*x^3-27*x^2+81*x-81)*log((x^2*log(5)+3)/log(5))*log(log((x^2*log(5)+3)/log(5)
)/(x^2-6*x+9))),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Error index.cc index_gcd Error: Bad Argument ValueError index.cc index_gcd Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3188\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (4-4 e^4+e^8\right ) \log ^2(x)+\left (-4+2 e^4\right ) \log ^2(x) \log \left (4 x^2\right )+\log ^2(x) \log ^2\left (4 x^2\right )+e^{\frac {4}{-2+e^4+\log \left (4 x^2\right )}} \left (4-4 e^4+e^8+\left (4+4 e^4-e^8\right ) \log (x)+\left (-4+2 e^4+\left (4-2 e^4\right ) \log (x)\right ) \log \left (4 x^2\right )+(1-\log (x)) \log ^2\left (4 x^2\right )\right )}{\left (4-4 e^4+e^8\right ) \log ^2(x)+\left (-4+2 e^4\right ) \log ^2(x) \log \left (4 x^2\right )+\log ^2(x) \log ^2\left (4 x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((1-log(x))*log(4*x^2)^2+((-2*exp(4)+4)*log(x)+2*exp(4)-4)*log(4*x^2)+(-exp(4)^2+4*exp(4)+4)*log(x)
+exp(4)^2-4*exp(4)+4)*exp(4/(log(4*x^2)+exp(4)-2))+log(x)^2*log(4*x^2)^2+(2*exp(4)-4)*log(x)^2*log(4*x^2)+(exp
(4)^2-4*exp(4)+4)*log(x)^2)/(log(x)^2*log(4*x^2)^2+(2*exp(4)-4)*log(x)^2*log(4*x^2)+(exp(4)^2-4*exp(4)+4)*log(
x)^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-4194304,[1,7,3,0,1]%%%}+%%%{-4194304,[1,7,2,1,1]%%%}+%%
%{25165824,

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3383\)

Giac [F(-2)]

Exception generated. \[ \int \frac {9 e^{2 e}+15 e^e x^2+2 x^4}{9 e^{2 e}+6 e^e x^2+x^4} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((9*exp(exp(1))^2+15*x^2*exp(exp(1))+2*x^4)/(9*exp(exp(1))^2+6*x^2*exp(exp(1))+x^4),x, algorithm="gia
c")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: (((9*exp(2*exp(1)))^(1/4))^3*(sqrt((1+si
n((-i)*ln(i*exp(exp(1))/exp(2*exp(1)/2)+sqrt(1-exp(exp(1))/exp(2*exp(1)/2)*exp(exp(1))/exp(2*exp(1)/2)))))/2))
^3*sqrt(-6*exp(exp(1)

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3384\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x^2}{9+e^{2 e^{-x+x^2 \log (x)} x}-6 x^2+x^4+e^{e^{-x+x^2 \log (x)} x} \left (6-2 x^2\right )}} \left (e^{x-x^2 \log (x)} \left (6 x+2 x^3\right )+e^{e^{-x+x^2 \log (x)} x} \left (2 e^{x-x^2 \log (x)} x-2 x^2+2 x^3-2 x^4-4 x^4 \log (x)\right )\right )}{e^{x+3 e^{-x+x^2 \log (x)} x-x^2 \log (x)}+e^{x+2 e^{-x+x^2 \log (x)} x-x^2 \log (x)} \left (9-3 x^2\right )+e^{x+e^{-x+x^2 \log (x)} x-x^2 \log (x)} \left (27-18 x^2+3 x^4\right )+e^{x-x^2 \log (x)} \left (27-27 x^2+9 x^4-x^6\right )} \, dx=\text {Exception raised: AttributeError} \]

[In]

integrate(((2*x*exp(-x^2*log(x)+x)-4*x^4*log(x)-2*x^4+2*x^3-2*x^2)*exp(x/exp(-x^2*log(x)+x))+(2*x^3+6*x)*exp(-
x^2*log(x)+x))*exp(x^2/(exp(x/exp(-x^2*log(x)+x))^2+(-2*x^2+6)*exp(x/exp(-x^2*log(x)+x))+x^4-6*x^2+9))/(exp(-x
^2*log(x)+x)*exp(x/exp(-x^2*log(x)+x))^3+(-3*x^2+9)*exp(-x^2*log(x)+x)*exp(x/exp(-x^2*log(x)+x))^2+(3*x^4-18*x
^2+27)*exp(-x^2*log(x)+x)*exp(x/exp(-x^2*log(x)+x))+(-x^6+9*x^4-27*x^2+27)*exp(-x^2*log(x)+x)),x, algorithm="g
iac")

[Out]

Exception raised: AttributeError >> type

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3640\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-4 x-4 e^x x^2-8 x^3+\left (4+4 e^x x+8 x^2\right ) \log (x)+\left (e^x (2-2 x)+2 x^2-2 x^3+(2-2 x) \log (x)\right ) \log \left (e^x+x^2+\log (x)\right ) \log \left (\log \left (e^x+x^2+\log (x)\right )\right )}{\left (-e^x x^2-x^4+\left (e^x x-x^2+x^3\right ) \log (x)+x \log ^2(x)\right ) \log \left (e^x+x^2+\log (x)\right ) \log \left (\log \left (e^x+x^2+\log (x)\right )\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((2-2*x)*log(x)+(2-2*x)*exp(x)-2*x^3+2*x^2)*log(log(x)+x^2+exp(x))*log(log(log(x)+x^2+exp(x)))+(4*e
xp(x)*x+8*x^2+4)*log(x)-4*exp(x)*x^2-8*x^3-4*x)/(x*log(x)^2+(exp(x)*x+x^3-x^2)*log(x)-exp(x)*x^2-x^4)/log(log(
x)+x^2+exp(x))/log(log(log(x)+x^2+exp(x))),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Sign error %%%{ln(w),0%%%}Sign error %%%{ln(w),0%%%}Done

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3683\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (-3 x+6 x^2-x^3+2 x^4+\left (-5 x^3+10 x^4\right ) \log (4)\right ) \log \left (-3-x^2-5 x^2 \log (4)\right )+\log \left (5-x+x^2\right ) \left (-10 x^2+2 x^3-2 x^4+\left (-50 x^2+10 x^3-10 x^4\right ) \log (4)+\left (15-3 x+8 x^2-x^3+x^4+\left (25 x^2-5 x^3+5 x^4\right ) \log (4)\right ) \log \left (-3-x^2-5 x^2 \log (4)\right )\right )}{\left (15-3 x+8 x^2-x^3+x^4+\left (25 x^2-5 x^3+5 x^4\right ) \log (4)\right ) \log ^2\left (-3-x^2-5 x^2 \log (4)\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((2*(5*x^4-5*x^3+25*x^2)*log(2)+x^4-x^3+8*x^2-3*x+15)*log(-10*x^2*log(2)-x^2-3)+2*(-10*x^4+10*x^3-5
0*x^2)*log(2)-2*x^4+2*x^3-10*x^2)*log(x^2-x+5)+(2*(10*x^4-5*x^3)*log(2)+2*x^4-x^3+6*x^2-3*x)*log(-10*x^2*log(2
)-x^2-3))/(2*(5*x^4-5*x^3+25*x^2)*log(2)+x^4-x^3+8*x^2-3*x+15)/log(-10*x^2*log(2)-x^2-3)^2,x, algorithm="giac"
)

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3880\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-4 e^{10 x}-80 e^{8 x} x-640 e^{6 x} x^2-2560 e^{4 x} x^3-5120 e^{2 x} x^4-4096 x^5+e^{\frac {65536 x^2+25 e^{8 x} x^2+400 e^{6 x} x^3-40960 x^4+6400 x^6+e^{4 x} \left (-2560 x^2+2400 x^4\right )+e^{2 x} \left (-20480 x^3+6400 x^5\right )}{e^{8 x}+16 e^{6 x} x+96 e^{4 x} x^2+256 e^{2 x} x^3+256 x^4}} \left (-1572864 x^4+6144 x^6+153600 x^8+e^{10 x} \left (6 x+150 x^3\right )+e^{8 x} \left (120 x^2+3000 x^4\right )+e^{6 x} \left (-14400 x^3+30720 x^4+24000 x^5\right )+e^{4 x} \left (-119040 x^4+245760 x^5+96000 x^6\right )+e^{2 x} \left (393216 x^3-1572864 x^4-238080 x^5+491520 x^6+192000 x^7\right )\right )}{3 e^{10 x}+60 e^{8 x} x+480 e^{6 x} x^2+1920 e^{4 x} x^3+3840 e^{2 x} x^4+3072 x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((((150*x^3+6*x)*exp(x)^10+(3000*x^4+120*x^2)*exp(x)^8+(24000*x^5+30720*x^4-14400*x^3)*exp(x)^6+(9600
0*x^6+245760*x^5-119040*x^4)*exp(x)^4+(192000*x^7+491520*x^6-238080*x^5-1572864*x^4+393216*x^3)*exp(x)^2+15360
0*x^8+6144*x^6-1572864*x^4)*exp((25*x^2*exp(x)^8+400*x^3*exp(x)^6+(2400*x^4-2560*x^2)*exp(x)^4+(6400*x^5-20480
*x^3)*exp(x)^2+6400*x^6-40960*x^4+65536*x^2)/(exp(x)^8+16*x*exp(x)^6+96*x^2*exp(x)^4+256*exp(x)^2*x^3+256*x^4)
)-4*exp(x)^10-80*x*exp(x)^8-640*x^2*exp(x)^6-2560*x^3*exp(x)^4-5120*exp(x)^2*x^4-4096*x^5)/(3*exp(x)^10+60*x*e
xp(x)^8+480*x^2*exp(x)^6+1920*x^3*exp(x)^4+3840*exp(x)^2*x^4+3072*x^5),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-2894802230932904885589274625217197696331749616641014100
98643960019

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4163\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {2 \left (-e^6+x+4 e^3 x-4 x^2+\left (2+e^6-x-4 e^3 x+4 x^2+\left (e^6 x-x^2-4 e^3 x^2+4 x^3\right ) \log (4)\right ) \log (x)\right )}{-1+(1+x \log (4)) \log (x)}} \left (-4-2 x-8 e^3 x+16 x^2+\left (4 x+16 e^3 x-32 x^2+\left (4 x^2+16 e^3 x^2-32 x^3\right ) \log (4)\right ) \log (x)+\left (-2 x-8 e^3 x+16 x^2+\left (-4 x-4 x^2-16 e^3 x^2+32 x^3\right ) \log (4)+\left (-2 x^3-8 e^3 x^3+16 x^4\right ) \log ^2(4)\right ) \log ^2(x)\right )}{x+\left (-2 x-2 x^2 \log (4)\right ) \log (x)+\left (x+2 x^2 \log (4)+x^3 \log ^2(4)\right ) \log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((4*(-8*x^3*exp(3)+16*x^4-2*x^3)*log(2)^2+2*(-16*x^2*exp(3)+32*x^3-4*x^2-4*x)*log(2)-8*x*exp(3)+16*x
^2-2*x)*log(x)^2+(2*(16*x^2*exp(3)-32*x^3+4*x^2)*log(2)+16*x*exp(3)-32*x^2+4*x)*log(x)-8*x*exp(3)+16*x^2-2*x-4
)*exp(((2*(x*exp(3)^2-4*x^2*exp(3)+4*x^3-x^2)*log(2)+exp(3)^2-4*x*exp(3)+4*x^2-x+2)*log(x)-exp(3)^2+4*x*exp(3)
-4*x^2+x)/((2*x*log(2)+1)*log(x)-1))^2/((4*x^3*log(2)^2+4*x^2*log(2)+x)*log(x)^2+(-4*x^2*log(2)-2*x)*log(x)+x)
,x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{4194304,[0,20,16,0,1]%%%}+%%%{46137344,[0,19,15,0,1]%%%}
+%%%{229638

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4209\)

Giac [F(-2)]

Exception generated. \[ \int e^{-x+2 e^{-x} \left (-x+e^x \left (x+781250 x^2 \log (4)\right )\right )} \left (-2+2 x+e^x (2+3125000 x \log (4))\right ) \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((6250000*x*log(2)+2)*exp(x)+2*x-2)*exp(((1562500*x^2*log(2)+x)*exp(x)-x)/exp(x))^2/exp(x),x, algori
thm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Polynomial exponent overflow. Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4407\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{-262144 (4-x)} (-16+(16+4194304 x) \log (x))}{\log ^2(x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((4194304*x+16)*log(x)-16)/log(x)^2/exp(-262144*x+1048576),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Polynomial exponent overflow. Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4774\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{2 e^{\frac {1}{3} \left (-3+\log \left (\frac {e^4 x+x^2-3 x \log (x)}{e^4+x}\right )\right )}+\frac {1}{3} \left (-3+\log \left (\frac {e^4 x+x^2-3 x \log (x)}{e^4+x}\right )\right )} \left (-2 e^8+e^4 (6-4 x)+6 x-2 x^2+6 e^4 \log (x)\right )}{-3 e^8 x-6 e^4 x^2-3 x^3+\left (9 e^4 x+9 x^2\right ) \log (x)} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((6*exp(4)*log(x)-2*exp(4)^2+(6-4*x)*exp(4)-2*x^2+6*x)*exp(1/3*log((-3*x*log(x)+x*exp(4)+x^2)/(x+exp(
4)))-1)*exp(2*exp(1/3*log((-3*x*log(x)+x*exp(4)+x^2)/(x+exp(4)))-1))/((9*x*exp(4)+9*x^2)*log(x)-3*x*exp(4)^2-6
*x^2*exp(4)-3*x^3),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(c
onst gen &

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5066\)

Giac [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {144 x^2-e^{4 x^2} x^2-288 x^3-2 e^{2 x^2} x^3+143 x^4+\left (288 x-288 x^2\right ) \log (x)+144 \log ^2(x)}{9 e^{4 x^2}+18 e^{2 x^2} x+9 x^2}} \left (288 x^2-2 e^{6 x^2} x^2-288 x^3-6 e^{4 x^2} x^3-288 x^4+286 x^5+e^{2 x^2} \left (288 x-864 x^3-582 x^4+2304 x^5-1152 x^6\right )+\left (288 x-288 x^2+e^{2 x^2} \left (288+288 x-576 x^2-2304 x^3+2304 x^4\right )\right ) \log (x)+\left (-288 x-1152 e^{2 x^2} x^2\right ) \log ^2(x)\right )}{9 e^{6 x^2} x+27 e^{4 x^2} x^2+27 e^{2 x^2} x^3+9 x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-1152*x^2*exp(x^2)^2-288*x)*log(x)^2+((2304*x^4-2304*x^3-576*x^2+288*x+288)*exp(x^2)^2-288*x^2+288
*x)*log(x)-2*x^2*exp(x^2)^6-6*x^3*exp(x^2)^4+(-1152*x^6+2304*x^5-582*x^4-864*x^3+288*x)*exp(x^2)^2+286*x^5-288
*x^4-288*x^3+288*x^2)*exp((144*log(x)^2+(-288*x^2+288*x)*log(x)-x^2*exp(x^2)^4-2*x^3*exp(x^2)^2+143*x^4-288*x^
3+144*x^2)/(9*exp(x^2)^4+18*x*exp(x^2)^2+9*x^2))/(9*x*exp(x^2)^6+27*x^2*exp(x^2)^4+27*x^3*exp(x^2)^2+9*x^4),x,
algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:Unable to divide, perhaps due to rounding error%%%{-339738624,[2,9,18]%%%}+%%%{339738624,[2,9,16]%%%}+%%%{-
127401984,[

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5070\)

Giac [F(-2)]

Exception generated. \[ \int \frac {36 x^6-36 x^7+8 x^8+e^e \left (-64+180 x^6-144 x^7+4 x^8+8 x^9\right )+e^{2 e} \left (-160-40 x+225 x^6-135 x^7-31 x^8+11 x^9+2 x^{10}\right )}{32 x^5+e^e \left (160 x^5+32 x^6\right )+e^{2 e} \left (200 x^5+80 x^6+8 x^7\right )} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate(((2*x^10+11*x^9-31*x^8-135*x^7+225*x^6-40*x-160)*exp(exp(1))^2+(8*x^9+4*x^8-144*x^7+180*x^6-64)*exp(
exp(1))+8*x^8-36*x^7+36*x^6)/((8*x^7+80*x^6+200*x^5)*exp(exp(1))^2+(32*x^6+160*x^5)*exp(exp(1))+32*x^5),x, alg
orithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 1/8*((1/2*sageVARx^4*exp(2*exp(1))^4-3*s
ageVARx^3*exp(2*exp(1))^4+9/2*sageVARx^2*exp(2*exp(1))^4)/exp(2*exp(1))^4+((-375000*exp(2*exp(1))^5-900000*exp
(2*exp(1))^4*exp(exp(

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5113\)

Giac [F(-2)]

Exception generated. \[ \int \frac {-324+29 x^2+20 x^3+3 x^4+e^8 \left (-81+2 x^2\right )+e^4 \left (-324+14 x^2+4 x^3\right )}{324 x+72 x^2+29 x^3+10 x^4+x^5+e^8 \left (81 x+18 x^2+2 x^3\right )+e^4 \left (324 x+72 x^2+14 x^3+2 x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((2*x^2-81)*exp(4)^2+(4*x^3+14*x^2-324)*exp(4)+3*x^4+20*x^3+29*x^2-324)/((2*x^3+18*x^2+81*x)*exp(4)^
2+(2*x^4+14*x^3+72*x^2+324*x)*exp(4)+x^5+10*x^4+29*x^3+72*x^2+324*x),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5245\)

Giac [F(-2)]

Exception generated. \[ \int \frac {8-2 x+6 x^2+\left (4+x-x^2\right ) \log \left (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right ) \log \left (\log \left (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right )\right )}{\left (-4 x^2-x^3+x^4\right ) \log \left (\frac {256+256 x-160 x^2-176 x^3+49 x^4+44 x^5-10 x^6-4 x^7+x^8}{128 x^2}\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-x^2+x+4)*log(1/128*(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2)*log(log(1/128*
(x^8-4*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2))+6*x^2-2*x+8)/(x^4-x^3-4*x^2)/log(1/128*(x^8-4
*x^7-10*x^6+44*x^5+49*x^4-176*x^3-160*x^2+256*x+256)/x^2),x, algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:simplify: Polynomials do not have the same dimension Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5379\)

Giac [F(-2)]

Exception generated. \[ \int \frac {2 e^x+e^{1+e^{-x} x} \left (x-x^2\right ) \log (x) \log \left (125 e^2 \log ^2(x)\right )}{e^{1+x+e^{-x} x} x \log (x) \log \left (125 e^2 \log ^2(x)\right )+e^x x \log (x) \log \left (125 e^2 \log ^2(x)\right ) \log \left (\log \left (125 e^2 \log ^2(x)\right )\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(((-x^2+x)*exp(1)*log(x)*exp(x/exp(x))*log(125*exp(2)*log(x)^2)+2*exp(x))/(x*exp(x)*log(x)*log(125*ex
p(2)*log(x)^2)*log(log(125*exp(2)*log(x)^2))+x*exp(1)*exp(x)*log(x)*exp(x/exp(x))*log(125*exp(2)*log(x)^2)),x,
algorithm="giac")

[Out]

Exception raised: TypeError >> an error occurred running a Giac command:INPUT:sage2:=int(sage0,sageVARx):;OUTP
UT:ln of unsigned or minus infinity Error: Bad Argument Value

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5593\)