Integrals 501 to 600

Giac [F(-2)]

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

[In]

integrate(x^2*(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(109\)

Giac [F(-2)]

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

[In]

integrate(x*(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(110\)

Giac [F(-2)]

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

[In]

integrate((c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(111\)

Giac [F(-2)]

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

[In]

integrate((c*x^2+b*x+a)^(1/2)/x/(f*x^2+e*x+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(112\)

Giac [F(-2)]

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

[In]

integrate(x^3/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(114\)

Giac [F(-2)]

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

[In]

integrate(x^2/(c*x^2+b*x+a)^(1/2)/(f*x^2+e*x+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(115\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> type

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(122\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> type

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(123\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: AttributeError >> type

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.6-g+h_x-^m-a+b_x+c_x^2-^p-d+e_x+f_x^2-^q.txt

Test file number \(37\)

Integral number in file \(124\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2}{(d+e x)^2 \sqrt {d^2-e^2 x^2}} \, dx=\text {Exception raised: NotImplementedError} \]

[In]

integrate((C*x^2+B*x+A)/(e*x+d)^2/(-e^2*x^2+d^2)^(1/2),x, algorithm="giac")

[Out]

Exception raised: NotImplementedError >> unable to parse Giac output: 1/abs(sageVARe)*(-((-i)*sageVARA*sageVAR
e^2+(-2*i)*sageVARB*sageVARd*sageVARe-6*sageVARC*sageVARd^2*atan(i)+5*i*sageVARC*sageVARd^2)/3/sageVARd^2/sage
VARe^2*sign((sageVARe

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(15\)

Giac [F(-2)]

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

[In]

integrate((f*x^2+e*x+d)*(c*x^2+a)^(1/2)/(h*x+g),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(82\)

Giac [F(-2)]

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

[In]

integrate((c*x^2+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(92\)

Giac [F(-2)]

Exception generated. \[ \int \frac {d+e x+f x^2}{(g+h x) \sqrt {a+c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x^2+e*x+d)/(h*x+g)/(c*x^2+a)^(1/2),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(105\)

Giac [F(-2)]

Exception generated. \[ \int \frac {d+e x+f x^2}{(g+h x)^2 \sqrt {a+c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x^2+e*x+d)/(h*x+g)^2/(c*x^2+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(106\)

Giac [F(-2)]

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

[In]

integrate((f*x^2+e*x+d)*(c*x^2+b*x+a)^(1/2)/(h*x+g),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(190\)

Giac [F(-2)]

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

[In]

integrate((c*x^2+b*x+a)^(3/2)*(f*x^2+e*x+d)/(h*x+g),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(200\)

Giac [F(-2)]

Exception generated. \[ \int \frac {d+e x+f x^2}{(g+h x) \sqrt {a+b x+c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x^2+e*x+d)/(h*x+g)/(c*x^2+b*x+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(230\)

Giac [F(-2)]

Exception generated. \[ \int \frac {d+e x+f x^2}{(g+h x)^2 \sqrt {a+b x+c x^2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x^2+e*x+d)/(h*x+g)^2/(c*x^2+b*x+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(231\)

Giac [F(-2)]

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

[In]

integrate((g*x^3+f*x^2+e*x+d)/x/(c*x^2+b*x+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(283\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (2+5 x+x^2\right ) \sqrt {3+2 x+5 x^2}}{\left (1+4 x-7 x^2\right )^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^2+5*x+2)*(5*x^2+2*x+3)^(1/2)/(-7*x^2+4*x+1)^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%%%{184473632,[8]%%%}+%%%{%%{[421654016,0]:[1,0,-5]%%},[7]%%
%}+%%%{-248

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(378\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (2+5 x+x^2\right ) \left (3+2 x+5 x^2\right )^{3/2}}{\left (1+4 x-7 x^2\right )^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((x^2+5*x+2)*(5*x^2+2*x+3)^(3/2)/(-7*x^2+4*x+1)^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%%%{63274455776,[8]%%%}+%%%{%%{[144627327488,0]:[1,0,-5]%%},
[7]%%%}+%%%

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.1_Quadratic/1.2.1.9_P-x-d+e_x-^m-a+b_x+c_x^2-^p.txt

Test file number \(38\)

Integral number in file \(384\)

Giac [F(-2)]

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

[In]

integrate((c*x^4+b*x^2+a)^(1/2)/x,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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.2-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(39\)

Integral number in file \(924\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^2+c x^4\right )^{3/2}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^2+a)^(3/2)/x,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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.2-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(39\)

Integral number in file \(940\)

Giac [F(-2)]

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

[In]

integrate((b*x^2+a^(1/2)*b^(1/2))/(b*x^4+a),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(9\)

Giac [F(-2)]

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

[In]

integrate((-b*x^2+a^(1/2)*b^(1/2))/(b*x^4+a),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(10\)

Giac [F(-2)]

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

[In]

integrate((-x^2+2*a^(1/2))/(a+x^4-x^2*a^(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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(107\)

Giac [F(-2)]

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

[In]

integrate((B*x^2+A)/(a+x^4-x^2*a^(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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(110\)

Giac [F(-2)]

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

[In]

integrate((B*x^2+A)/(a+c*x^4-x^2*(a*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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(111\)

Giac [F(-2)]

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

[In]

integrate((B*x^2+A)/(a+c*x^4-x^2*a^(1/2)*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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(112\)

Giac [F(-2)]

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

[In]

integrate((e*x^2+d)^(5/2)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(220\)

Giac [F(-2)]

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

[In]

integrate((e*x^2+d)^(3/2)/(c*e^2*x^4+b*e^2*x^2+b*d*e-c*d^2),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.3-d+e_x^2-^m-a+b_x^2+c_x^4-^p.txt

Test file number \(40\)

Integral number in file \(221\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x^2}{x \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((B*x^2+A)/x/(c*x^4+b*x^2+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(172\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \sqrt {a+b x^2+c x^4}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^5*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(311\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3 \sqrt {a+b x^2+c x^4}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(312\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x \sqrt {a+b x^2+c x^4}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(313\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a+b x^2+c x^4}}{x \left (d+e x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^2+a)^(1/2)/x/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(314\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b x^2+c x^4\right )^{3/2}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^5*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(322\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3 \left (a+b x^2+c x^4\right )^{3/2}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(323\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x \left (a+b x^2+c x^4\right )^{3/2}}{d+e x^2} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x*(c*x^4+b*x^2+a)^(3/2)/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(324\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^2+c x^4\right )^{3/2}}{x \left (d+e x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^2+a)^(3/2)/x/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(325\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a+b x^2+c x^4\right )^{3/2}}{x^3 \left (d+e x^2\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^2+a)^(3/2)/x^3/(e*x^2+d),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(326\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^5}{\left (d+e x^2\right ) \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^5/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(332\)

Giac [F(-2)]

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

[In]

integrate(x^3/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(333\)

Giac [F(-2)]

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

[In]

integrate(1/x/(e*x^2+d)/(c*x^4+b*x^2+a)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(335\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^7}{\left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^7/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(342\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{x \left (d+e x^2\right ) \left (a+b x^2+c x^4\right )^{3/2}} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/x/(e*x^2+d)/(c*x^4+b*x^2+a)^(3/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(346\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \sqrt {d+e x^2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(361\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^2 \sqrt {d+e x^2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*(e*x^2+d)^(1/2)/(c*x^4+b*x^2+a),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(362\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (d+e x^2\right )^{3/2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(371\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^2 \left (d+e x^2\right )^{3/2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^2*(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(372\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (d+e x^2\right )^{3/2}}{a+b x^2+c x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(373\)

Giac [F(-2)]

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

[In]

integrate(x^8/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(386\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\sqrt {d+e x^2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^6/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(387\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^4}{\sqrt {d+e x^2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^4/(c*x^4+b*x^2+a)/(e*x^2+d)^(1/2),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(388\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^6}{\left (d+e x^2\right )^{3/2} \left (a+b x^2+c x^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^6/(e*x^2+d)^(3/2)/(c*x^4+b*x^2+a),x, algorithm="giac")

[Out]

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

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(41\)

Integral number in file \(394\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d*x^2+e*x+c)^(1/2)*((b*x^2+a)^2)^(1/2)/x,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 1_Algebraic_functions/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.7_P-x-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test file number \(44\)

Integral number in file \(39\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{2+x^3+x^6} \, dx=\text {Exception raised: RuntimeError} \]

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Invalid _EXT in r
eplace_ext Error: Bad Argument Valueintegrate(1/(sageVARx^6+sageVARx^3+2),sageVARx)

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(182\)

Giac [F(-2)]

Exception generated. \[ \int \frac {x^3}{2+x^3+x^6} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(x^3/(x^6+x^3+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 ValueDone

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(184\)

Giac [F(-2)]

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

[In]

integrate((a+c/x^2+b/x)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(451\)

Giac [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)^(1/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(452\)

Giac [F(-2)]

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

[In]

integrate((a+c*x+b*x^(1/2))^(1/2)/x,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 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(459\)

Giac [F(-2)]

Exception generated. \[ \int \frac {1}{(d f+e f x)^2 \left (a+b (d+e x)^2+c (d+e x)^4\right )} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate(1/(e*f*x+d*f)^2/(a+b*(e*x+d)^2+c*(e*x+d)^4),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 ValueDone

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.2-d_x-^m-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(46\)

Integral number in file \(643\)

Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right )^3 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d+e*x^n)^3*(a+c*x^(2*n))^p,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,[1,0,6,4,3,5,4,1,2]%%%}+%%%{480,[1,0,6,4,3,4,4,1,2]%%
%}+%%%{960,

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(60\)

Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d+e*x^n)^2*(a+c*x^(2*n))^p,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,[1,0,4,3,1,4,3,1,1]%%%}+%%%{256,[1,0,4,3,1,3,3,1,1]%%
%}+%%%{384,

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(61\)

Giac [F(-2)]

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

[In]

integrate((d+e*x^n)^3*(a+b*x^n+c*x^(2*n))^p,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%%%{512,[1,0,7,4,9,5,1,8,0,3]%%%}+%%%{-3072,[1,0,7,4,9,5,0,9
,1,2]%%%}+%

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(91\)

Giac [F(-2)]

Exception generated. \[ \int \left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((d+e*x^n)^2*(a+b*x^n+c*x^(2*n))^p,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%%%{-128,[1,0,5,3,6,4,1,6,0,2]%%%}+%%%{512,[1,0,5,3,6,4,0,7,
1,1]%%%}+%%

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.3-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(47\)

Integral number in file \(92\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^3 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x)^m*(d+e*x^n)^3*(a+c*x^(2*n))^p,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,[1,0,6,4,0,3,5,4,1,2]%%%}+%%%{480,[1,0,6,4,0,3,4,4,1,
2]%%%}+%%%{

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(48\)

Integral number in file \(87\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^2 \left (a+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x)^m*(d+e*x^n)^2*(a+c*x^(2*n))^p,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,[1,0,4,3,0,1,4,3,1,1]%%%}+%%%{256,[1,0,4,3,0,1,3,3,1,
1]%%%}+%%%{

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(48\)

Integral number in file \(88\)

Giac [F(-2)]

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

[In]

integrate((c^(1/3)-2*d^(1/3)*x^(1/3))/(c*d^(1/3)*x^(2/3)-c^(2/3)*d^(2/3)*x+c^(1/3)*d*x^(4/3)),x, algorithm="gi
ac")

[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,[1]%%%},0]:[1,0,0,%%%{-1,[1]%%%}]%%},[
1]%%%},0]:[

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(48\)

Integral number in file \(144\)

Giac [F(-2)]

Exception generated. \[ \int (f x)^m \left (d+e x^n\right )^2 \left (a+b x^n+c x^{2 n}\right )^p \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((f*x)^m*(d+e*x^n)^2*(a+b*x^n+c*x^(2*n))^p,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%%%{-128,[1,0,5,3,0,6,4,1,6,0,2]%%%}+%%%{512,[1,0,5,3,0,6,4,
0,7,1,1]%%%

input file name 1_Algebraic_functions/1.2_Trinomial_products/1.2.3_General/1.2.3.4-f_x-^m-d+e_x^n-^q-a+b_x^n+c_x^-2_n-^p.txt

Test file number \(48\)

Integral number in file \(152\)

Giac [F(-2)]

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

[In]

integrate((c*x^4+b*x^3+a*x^2)^(1/2)/x^2,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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(33\)

Giac [F(-2)]

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

[In]

integrate((c*x^4+b*x^3+a*x^2)^(1/2)/x^4,x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(35\)

Giac [F(-2)]

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

[In]

integrate((c*x^4+b*x^3+a*x^2)^(1/2)/x^5,x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(36\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\sqrt {a x^2+b x^3+c x^4}}{x^6} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^3+a*x^2)^(1/2)/x^6,x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(37\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a x^2+b x^3+c x^4\right )^{3/2}}{x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^3+a*x^2)^(3/2)/x^4,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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(43\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a x^2+b x^3+c x^4\right )^{3/2}}{x^5} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^3+a*x^2)^(3/2)/x^5,x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(44\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a x^2+b x^3+c x^4\right )^{3/2}}{x^6} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^3+a*x^2)^(3/2)/x^6,x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(45\)

Giac [F(-2)]

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

[In]

integrate((c*x^4+b*x^3+a*x^2)^(3/2)/x^8,x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(47\)

Giac [F(-2)]

Exception generated. \[ \int \frac {\left (a x^2+b x^3+c x^4\right )^{3/2}}{x^9} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((c*x^4+b*x^3+a*x^2)^(3/2)/x^9,x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(48\)

Giac [F(-2)]

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

[In]

integrate(1/x/(c*x^4+b*x^3+a*x^2)^(1/2),x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(53\)

Giac [F(-2)]

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

[In]

integrate(1/x^2/(c*x^4+b*x^3+a*x^2)^(1/2),x, algorithm="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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(54\)

Giac [F(-2)]

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

[In]

integrate((c*x^5+b*x^3+a*x)^(1/2)/x^(3/2),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 1_Algebraic_functions/1.2_Trinomial_products/1.2.4_Improper/1.2.4.2-d_x-^m-a_x^q+b_x^n+c_x^-2_n-q-^p.txt

Test file number \(50\)

Integral number in file \(108\)

Giac [F(-2)]

Exception generated. \[ \int \frac {A+B x+C x^2+D x^3}{a+b x+c x^2+b x^3+a x^4} \, dx=\text {Exception raised: TypeError} \]

[In]

integrate((D*x^3+C*x^2+B*x+A)/(a*x^4+b*x^3+c*x^2+b*x+a),x, algorithm="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 1_Algebraic_functions/1.3_Miscellaneous/1.3.1_Rational_functions.txt

Test file number \(51\)

Integral number in file \(227\)

Giac [F(-2)]

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

[In]

integrate(1/(2^(2/3)-x)/(-x^3+1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Ba
d Argument

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(2\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Bad Argument Value

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(3\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error: Bad Argument Value

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(4\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{1,[2]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad Argument Value

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(10\)

Giac [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> an error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to divide,
perhaps due to rounding error%%%{1,[2]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad Argument Value

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(11\)

Giac [F(-2)]

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

[In]

integrate(1/(1-x+3^(1/2))/(x^3-1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad
Argument Va

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(12\)

Giac [F(-2)]

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

[In]

integrate(1/(1+x+3^(1/2))/(-x^3-1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,4]:[1,0,-3]%%},[2]%%%} Error: Bad
Argument Va

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(13\)

Giac [F(-2)]

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

[In]

integrate((2^(2/3)-2*x)/(2^(2/3)+x)/(x^3+1)^(1/2),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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error:
Bad Argumen

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(43\)

Giac [F(-2)]

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

[In]

integrate((2^(2/3)+2*x)/(2^(2/3)-x)/(-x^3+1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Ba
d Argument

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(44\)

Giac [F(-2)]

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

[In]

integrate((2^(2/3)+2*x)/(2^(2/3)-x)/(x^3-1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Ba
d Argument

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(45\)

Giac [F(-2)]

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

[In]

integrate((2^(2/3)-2*x)/(2^(2/3)+x)/(-x^3-1)^(1/2),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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error:
Bad Argumen

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(46\)

Giac [F(-2)]

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

[In]

integrate((2+3*x)/(2^(2/3)+x)/(x^3+1)^(1/2),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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error:
Bad Argumen

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(52\)

Giac [F(-2)]

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

[In]

integrate((2+3*x)/(2^(2/3)-x)/(-x^3+1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Ba
d Argument

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(53\)

Giac [F(-2)]

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

[In]

integrate((2+3*x)/(2^(2/3)-x)/(x^3-1)^(1/2),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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error:
Bad Argumen

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(54\)

Giac [F(-2)]

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

[In]

integrate((f*x+e)/(2^(2/3)+x)/(x^3+1)^(1/2),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%%%{1,[1]%%%} / %%%{%%{[1,0,0]:[1,0,0,-2]%%},[1]%%%} Error:
Bad Argumen

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(56\)

Giac [F(-2)]

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

[In]

integrate((f*x+e)/(2^(2/3)-x)/(-x^3+1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Ba
d Argument

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(57\)

Giac [F(-2)]

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

[In]

integrate((f*x+e)/(2^(2/3)-x)/(x^3-1)^(1/2),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%%%{1,[2]%%%} / %%%{%%{[2,0]:[1,0,0,-2]%%},[2]%%%} Error: Ba
d Argument

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(58\)