Integrals 6401 to 6500

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b \text {csch}^{-1}(c x)\right )}{\sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(138\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(139\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(141\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {csch}^{-1}(c x)}{x^3 \sqrt {d+e x^2}} \, dx=\text {Exception raised: ValueError} \]

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(142\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(143\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(144\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(145\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(146\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b \text {csch}^{-1}(c x)\right )}{\left (d+e x^2\right )^{3/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(3/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(147\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(148\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(150\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(151\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(152\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(153\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(155\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^5 \left (a+b \text {csch}^{-1}(c x)\right )}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^5*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(156\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {csch}^{-1}(c x)}{x \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccsch(c*x))/x/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(159\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {a+b \text {csch}^{-1}(c x)}{x^3 \left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((a+b*arccsch(c*x))/x^3/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(160\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^6 \left (a+b \text {csch}^{-1}(c x)\right )}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^6*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(161\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^4 \left (a+b \text {csch}^{-1}(c x)\right )}{\left (d+e x^2\right )^{5/2}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^4*(a+b*arccsch(c*x))/(e*x^2+d)^(5/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(e>0)', see `assume?` for more
details)Is e

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.1_u-a+b_arccsch-c_x-^n.txt

Test file number \(202\)

Integral number in file \(162\)

Maxima [F(-2)]

Exception generated. \[ \int e^{\text {csch}^{-1}\left (a x^2\right )} x^m \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((1/a/x^2+(1+1/a^2/x^4)^(1/2))*x^m,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(m-2>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(37\)

Maxima [F(-2)]

Exception generated. \[ \int e^{2 \text {csch}^{-1}(a x)} x^m \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((1/a/x+(1+1/a^2/x^2)^(1/2))^2*x^m,x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(m-2>0)', see `assume?` for mor
e details)Is

input file name 7_Inverse_hyperbolic_functions/7.6_Inverse_hyperbolic_cosecant/7.6.2_Inverse_hyperbolic_cosecant_functions.txt

Test file number \(203\)

Integral number in file \(48\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(428\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-4*a*b>0)', see `assume?` f
or more deta

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(451\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((d+b+a)^2-4*a*b>0)', see `assu
me?` for mor

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(471\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((b*d+a*d+1)^2>0)', see `assume
?` for more

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(472\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((d+b)^2-4*a*d>0)', see `assume
?` for more

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(566\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((b*d+1)^2-4*a*d>0)', see `assu
me?` for mor

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(567\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for mor
e details)Is

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(699\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for mor
e details)Is

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(702\)

Maxima [F(-2)]

Exception generated. \[ \int \sqrt {1-x^2-y^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((-y^4-x^2+1)^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(y-1>0)', see `assume?` for mor
e details)Is

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(734\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((d+c+b)^2>0)', see `assume?` f
or more deta

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(775\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume((c*d+b*d+1)^2>0)', see `assume
?` for more

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(776\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b-1>0)', see `assume?` for mor
e details)Is

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(780\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(955\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(2*a*k-b>0)', see `assume?` for
more detail

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(997\)

Maxima [F(-2)]

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

[In]

integrate((k*x^2-1)/(c*k*x+k*x^2+1)/((-x^2+1)*(-k^2*x^2+1))^(1/2),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(c^2*k-4>0)', see `assume?` for
more detail

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1388\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1-x^5}{\sqrt {a+b x} \left (1+x^5\right )} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((-x^5+1)/(b*x+a)^(1/2)/(x^5+1),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a-4*b>0)', see `assume?` for
more detail

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(1862\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for mor
e details)Is

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2367\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2433\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(k-1>0)', see `assume?` for mor
e details)Is

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2848\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2921\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` f
or more deta

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(2959\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {1+x}{(1-a x) \sqrt [4]{\frac {1-b x}{c+x}}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((1+x)/(-a*x+1)/((-b*x+1)/(c+x))^(1/4),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for mor
e details)Is

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3012\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3137\)

Maxima [F(-2)]

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

[In]

integrate(((-b*x+1)/(c+x))^(1/6)*(d*x^2+1)/(b*x+1)/(c*x+1),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(b*c-1>0)', see `assume?` for m
ore details)

input file name 9_Blake_problems/BlakeProblems.txt

Test file number \(209\)

Integral number in file \(3138\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {18}{2 x^2+x^2 \log (x)}} \left (-90+4 x^2+\left (-36+4 x^2\right ) \log (x)+x^2 \log ^2(x)\right )}{4 x^2+4 x^2 \log (x)+x^2 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((x^2*log(x)^2+(4*x^2-36)*log(x)+4*x^2-90)*exp(18/(x^2*log(x)+2*x^2))/(x^2*log(x)^2+4*x^2*log(x)+4*x^
2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(86\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {4 x^3}{11 x-2 e^2 x-2 x^2+2 \log (x)}} \left (-8 x^2+88 x^3-16 e^2 x^3-8 x^4+24 x^2 \log (x)\right )}{121 x^2+4 e^4 x^2-44 x^3+4 x^4+e^2 \left (-44 x^2+8 x^3\right )+\left (44 x-8 e^2 x-8 x^2\right ) \log (x)+4 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((24*x^2*log(x)-16*x^3*exp(2)-8*x^4+88*x^3-8*x^2)*exp(2*x^3/(2*log(x)-2*exp(2)*x-2*x^2+11*x))^2/(4*lo
g(x)^2+(-8*exp(2)*x-8*x^2+44*x)*log(x)+4*x^2*exp(2)^2+(8*x^3-44*x^2)*exp(2)+4*x^4-44*x^3+121*x^2),x, algorithm
="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(152\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x}{4+2 x+2 \log \left (x^2\right )}} \left (-16+8 x+20 x^2+6 x^3+\left (-16+17 x+11 x^2\right ) \log \left (x^2\right )+(-4+6 x) \log ^2\left (x^2\right )\right )}{8 x^3-8 x^4-6 x^5+4 x^6+2 x^7+\left (8 x^3-12 x^4+4 x^6\right ) \log \left (x^2\right )+\left (2 x^3-4 x^4+2 x^5\right ) \log ^2\left (x^2\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((6*x-4)*log(x^2)^2+(11*x^2+17*x-16)*log(x^2)+6*x^3+20*x^2+8*x-16)*exp(x/(2*log(x^2)+2*x+4))/((2*x^5
-4*x^4+2*x^3)*log(x^2)^2+(4*x^6-12*x^4+8*x^3)*log(x^2)+2*x^7+4*x^6-6*x^5-8*x^4+8*x^3),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(284\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {5}{-4 x^2+x^2 \log (\log (x))}} (-5+40 \log (x)-10 \log (x) \log (\log (x)))}{16 x^3 \log (x)-8 x^3 \log (x) \log (\log (x))+x^3 \log (x) \log ^2(\log (x))} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((-10*log(x)*log(log(x))+40*log(x)-5)*exp(5/(x^2*log(log(x))-4*x^2))/(x^3*log(x)*log(log(x))^2-8*x^3*
log(x)*log(log(x))+16*x^3*log(x)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(330\)

Maxima [F(-2)]

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

[In]

integrate((((-5*exp(3)+2*x-8)*log(x)*log(log(x))+5*exp(3)+8-x)*exp(1/2*(-10*log(log(x))-5*x*exp(3)+x^2-8*x)/lo
g(log(x)))^2+(4*x*log(x)*log(log(x))^2+(-5*x^2*exp(3)+2*x^3-8*x^2)*log(x)*log(log(x))+5*x^2*exp(3)-x^3+8*x^2)*
exp(1/2*(-10*log(log(x))-5*x*exp(3)+x^2-8*x)/log(log(x)))+4*x^3*log(x)*log(log(x))^2)/log(x)/log(log(x))^2,x,
algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(473\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (600+630 x+30 x^2\right ) \log \left (\frac {20+x}{4}\right ) \log ^2\left (\log \left (\frac {20+x}{4}\right )\right )+e^{\frac {2 \left (e^5 x^2-3 x^3 \log \left (\log \left (\frac {20+x}{4}\right )\right )\right )}{15 \log \left (\log \left (\frac {20+x}{4}\right )\right )}} \left (-2 e^5 x^2+e^5 \left (80 x+4 x^2\right ) \log \left (\frac {20+x}{4}\right ) \log \left (\log \left (\frac {20+x}{4}\right )\right )+\left (-360 x^2-18 x^3\right ) \log \left (\frac {20+x}{4}\right ) \log ^2\left (\log \left (\frac {20+x}{4}\right )\right )\right )+e^{\frac {e^5 x^2-3 x^3 \log \left (\log \left (\frac {20+x}{4}\right )\right )}{15 \log \left (\log \left (\frac {20+x}{4}\right )\right )}} \left (e^5 \left (-2 x^2-2 x^3\right )+e^5 \left (80 x+84 x^2+4 x^3\right ) \log \left (\frac {20+x}{4}\right ) \log \left (\log \left (\frac {20+x}{4}\right )\right )+\left (600+30 x-360 x^2-378 x^3-18 x^4\right ) \log \left (\frac {20+x}{4}\right ) \log ^2\left (\log \left (\frac {20+x}{4}\right )\right )\right )}{(300+15 x) \log \left (\frac {20+x}{4}\right ) \log ^2\left (\log \left (\frac {20+x}{4}\right )\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((-18*x^3-360*x^2)*log(5+1/4*x)*log(log(5+1/4*x))^2+(4*x^2+80*x)*exp(5)*log(5+1/4*x)*log(log(5+1/4*
x))-2*x^2*exp(5))*exp(1/15*(-3*x^3*log(log(5+1/4*x))+x^2*exp(5))/log(log(5+1/4*x)))^2+((-18*x^4-378*x^3-360*x^
2+30*x+600)*log(5+1/4*x)*log(log(5+1/4*x))^2+(4*x^3+84*x^2+80*x)*exp(5)*log(5+1/4*x)*log(log(5+1/4*x))+(-2*x^3
-2*x^2)*exp(5))*exp(1/15*(-3*x^3*log(log(5+1/4*x))+x^2*exp(5))/log(log(5+1/4*x)))+(30*x^2+630*x+600)*log(5+1/4
*x)*log(log(5+1/4*x))^2)/(15*x+300)/log(5+1/4*x)/log(log(5+1/4*x))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(556\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {4 x^4}{4 e^{\frac {6 x}{10+2 \log (x)}} x^2-4 e^{\frac {3 x}{10+2 \log (x)}} x \log \left (\frac {1}{x}\right )+\log ^2\left (\frac {1}{x}\right )}} \left (-200 x^3-400 x^3 \log \left (\frac {1}{x}\right )+\left (-80 x^3-160 x^3 \log \left (\frac {1}{x}\right )\right ) \log (x)+\left (-8 x^3-16 x^3 \log \left (\frac {1}{x}\right )\right ) \log ^2(x)+e^{\frac {3 x}{10+2 \log (x)}} \left (400 x^4-96 x^5+\left (160 x^4-24 x^5\right ) \log (x)+16 x^4 \log ^2(x)\right )\right )}{-25 \log ^3\left (\frac {1}{x}\right )-10 \log ^3\left (\frac {1}{x}\right ) \log (x)-\log ^3\left (\frac {1}{x}\right ) \log ^2(x)+e^{\frac {9 x}{10+2 \log (x)}} \left (200 x^3+80 x^3 \log (x)+8 x^3 \log ^2(x)\right )+e^{\frac {6 x}{10+2 \log (x)}} \left (-300 x^2 \log \left (\frac {1}{x}\right )-120 x^2 \log \left (\frac {1}{x}\right ) \log (x)-12 x^2 \log \left (\frac {1}{x}\right ) \log ^2(x)\right )+e^{\frac {3 x}{10+2 \log (x)}} \left (150 x \log ^2\left (\frac {1}{x}\right )+60 x \log ^2\left (\frac {1}{x}\right ) \log (x)+6 x \log ^2\left (\frac {1}{x}\right ) \log ^2(x)\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((16*x^4*log(x)^2+(-24*x^5+160*x^4)*log(x)-96*x^5+400*x^4)*exp(3*x/(2*log(x)+10))+(-16*x^3*log(1/x)-
8*x^3)*log(x)^2+(-160*x^3*log(1/x)-80*x^3)*log(x)-400*x^3*log(1/x)-200*x^3)*exp(4*x^4/(4*x^2*exp(3*x/(2*log(x)
+10))^2-4*x*log(1/x)*exp(3*x/(2*log(x)+10))+log(1/x)^2))/((8*x^3*log(x)^2+80*x^3*log(x)+200*x^3)*exp(3*x/(2*lo
g(x)+10))^3+(-12*x^2*log(1/x)*log(x)^2-120*x^2*log(1/x)*log(x)-300*x^2*log(1/x))*exp(3*x/(2*log(x)+10))^2+(6*x
*log(1/x)^2*log(x)^2+60*x*log(1/x)^2*log(x)+150*x*log(1/x)^2)*exp(3*x/(2*log(x)+10))-log(1/x)^3*log(x)^2-10*lo
g(1/x)^3*log(x)-25*log(1/x)^3),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(797\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {4^{\frac {-16-8 x-x^2}{-2-2 x+2 \log \left (\log \left (x^2\right )\right )}} \left (\left (32+48 x+18 x^2+2 x^3\right ) \log (4)+\left (2+8 x+10 x^2+4 x^3+\left (-8 x-6 x^2+3 x^3+x^4\right ) \log (4)\right ) \log \left (x^2\right )+\left (-4-12 x-8 x^2+\left (-8 x-10 x^2-2 x^3\right ) \log (4)\right ) \log \left (x^2\right ) \log \left (\log \left (x^2\right )\right )+(2+4 x) \log \left (x^2\right ) \log ^2\left (\log \left (x^2\right )\right )\right )}{\left (2+4 x+2 x^2\right ) \log \left (x^2\right )+(-4-4 x) \log \left (x^2\right ) \log \left (\log \left (x^2\right )\right )+2 \log \left (x^2\right ) \log ^2\left (\log \left (x^2\right )\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((4*x+2)*log(x^2)*log(log(x^2))^2+(2*(-2*x^3-10*x^2-8*x)*log(2)-8*x^2-12*x-4)*log(x^2)*log(log(x^2))
+(2*(x^4+3*x^3-6*x^2-8*x)*log(2)+4*x^3+10*x^2+8*x+2)*log(x^2)+2*(2*x^3+18*x^2+48*x+32)*log(2))*exp(2*(-x^2-8*x
-16)*log(2)/(2*log(log(x^2))-2*x-2))/(2*log(x^2)*log(log(x^2))^2+(-4-4*x)*log(x^2)*log(log(x^2))+(2*x^2+4*x+2)
*log(x^2)),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(835\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{5/4} (-360+72 x) \log ^3(x)+e^{5/4} (-90+36 x) \log ^4(x)+(180-72 x) \log ^5(x)}{-e^{25/4}+10 e^5 \log (x)-40 e^{15/4} \log ^2(x)+80 e^{5/2} \log ^3(x)-80 e^{5/4} \log ^4(x)+32 \log ^5(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-72*x+180)*log(x)^5+(36*x-90)*exp(5/4)*log(x)^4+(72*x-360)*exp(5/4)*log(x)^3)/(32*log(x)^5-80*exp(
5/4)*log(x)^4+80*exp(5/4)^2*log(x)^3-40*exp(5/4)^3*log(x)^2+10*exp(5/4)^4*log(x)-exp(5/4)^5),x, algorithm="max
ima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(852\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {2 \left (4 x-36 x^2+(3-108 x) \log \left (\log \left (\frac {e^x}{x}\right )\right )\right )}{x+3 \log \left (\log \left (\frac {e^x}{x}\right )\right )}} \left (18 x^2-18 x^3+\left (2 x^3-72 x^4\right ) \log \left (\frac {e^x}{x}\right )+\left (30 x^2-432 x^3\right ) \log \left (\frac {e^x}{x}\right ) \log \left (\log \left (\frac {e^x}{x}\right )\right )+\left (18 x-648 x^2\right ) \log \left (\frac {e^x}{x}\right ) \log ^2\left (\log \left (\frac {e^x}{x}\right )\right )\right )}{x^2 \log \left (\frac {e^x}{x}\right )+6 x \log \left (\frac {e^x}{x}\right ) \log \left (\log \left (\frac {e^x}{x}\right )\right )+9 \log \left (\frac {e^x}{x}\right ) \log ^2\left (\log \left (\frac {e^x}{x}\right )\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-648*x^2+18*x)*log(exp(x)/x)*log(log(exp(x)/x))^2+(-432*x^3+30*x^2)*log(exp(x)/x)*log(log(exp(x)/x
))+(-72*x^4+2*x^3)*log(exp(x)/x)-18*x^3+18*x^2)*exp(((-108*x+3)*log(log(exp(x)/x))-36*x^2+4*x)/(3*log(log(exp(
x)/x))+x))^2/(9*log(exp(x)/x)*log(log(exp(x)/x))^2+6*x*log(exp(x)/x)*log(log(exp(x)/x))+x^2*log(exp(x)/x)),x,
algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1407\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-x+x \log (3)-4 x \log \left (\frac {25+6 x+5 \log (x)}{5+x+\log (x)}\right )}{4 \log \left (\frac {25+6 x+5 \log (x)}{5+x+\log (x)}\right )}} \left (4 x-4 x \log (3)+(x-x \log (3)) \log (x)+\left (-125-55 x-6 x^2+\left (125+55 x+6 x^2\right ) \log (3)+(-50-11 x+(50+11 x) \log (3)) \log (x)+(-5+5 \log (3)) \log ^2(x)\right ) \log \left (\frac {25+6 x+5 \log (x)}{5+x+\log (x)}\right )+\left (-500-220 x-24 x^2+(-200-44 x) \log (x)-20 \log ^2(x)\right ) \log ^2\left (\frac {25+6 x+5 \log (x)}{5+x+\log (x)}\right )\right )}{\left (500+220 x+24 x^2+(200+44 x) \log (x)+20 \log ^2(x)\right ) \log ^2\left (\frac {25+6 x+5 \log (x)}{5+x+\log (x)}\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-20*log(x)^2+(-44*x-200)*log(x)-24*x^2-220*x-500)*log((5*log(x)+6*x+25)/(5+log(x)+x))^2+((5*log(3)
-5)*log(x)^2+((11*x+50)*log(3)-11*x-50)*log(x)+(6*x^2+55*x+125)*log(3)-6*x^2-55*x-125)*log((5*log(x)+6*x+25)/(
5+log(x)+x))+(-x*log(3)+x)*log(x)-4*x*log(3)+4*x)*exp(1/4*(-4*x*log((5*log(x)+6*x+25)/(5+log(x)+x))+x*log(3)-x
)/log((5*log(x)+6*x+25)/(5+log(x)+x)))/(20*log(x)^2+(44*x+200)*log(x)+24*x^2+220*x+500)/log((5*log(x)+6*x+25)/
(5+log(x)+x))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1456\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-25 x+e^{\frac {1}{5} \left (-26-5 x^2+5 \log \left (x^2\right )\right )} \left (-250+250 x^2\right )}{25 e^{\frac {2}{5} \left (-26-5 x^2+5 \log \left (x^2\right )\right )} x+10 e^{\frac {1}{5} \left (-26-5 x^2+5 \log \left (x^2\right )\right )} x^2+x^3} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((250*x^2-250)*exp(log(x^2)-x^2-26/5)-25*x)/(25*x*exp(log(x^2)-x^2-26/5)^2+10*x^2*exp(log(x^2)-x^2-2
6/5)+x^3),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1508\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{2 x} \left (120-480 x+400 x^2-40 x^4+e^{2/3} \left (-8+24 x-24 x^2+8 x^3\right )\right )}{64000-72000 x+3000 x^2+14625 x^3-375 x^4-1125 x^5-125 x^6+e^2 \left (-1+3 x-3 x^2+x^3\right )+e^{4/3} \left (120-285 x+195 x^2-15 x^3-15 x^4\right )+e^{2/3} \left (-4800+8400 x-3075 x^2-975 x^3+375 x^4+75 x^5\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((8*x^3-24*x^2+24*x-8)*exp(2/3)-40*x^4+400*x^2-480*x+120)*exp(x)^2/((x^3-3*x^2+3*x-1)*exp(2/3)^3+(-1
5*x^4-15*x^3+195*x^2-285*x+120)*exp(2/3)^2+(75*x^5+375*x^4-975*x^3-3075*x^2+8400*x-4800)*exp(2/3)-125*x^6-1125
*x^5-375*x^4+14625*x^3+3000*x^2-72000*x+64000),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1522\)

Maxima [F(-2)]

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

[In]

integrate(((4*x*log(x)*log(log(x))-2*x)*exp(x^2/log(log(x)))^2+log(x)*log(log(x))^2)/log(x)/log(log(x))^2,x, a
lgorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1820\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^x \left (-60 x^2+24 x^3\right ) \log ^2(x)+e^x \left (24 x^2-12 x^3\right ) \log ^3(x)+e^{\frac {5-3 x^3 \log (x)}{3 x^2 \log (x)}} \left (20 e^x+40 e^x \log (x)+24 e^x x^2 \log ^2(x)\right )}{3 x^5 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/3*((24*x^2*exp(x)*log(x)^2+40*exp(x)*log(x)+20*exp(x))*exp(1/3*(-3*x^3*log(x)+5)/x^2/log(x))+(-12*
x^3+24*x^2)*exp(x)*log(x)^3+(24*x^3-60*x^2)*exp(x)*log(x)^2)/x^5/log(x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(1913\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2019\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {135 x}{-5 x^2+\log (x)}} \left (-270 x+1350 x^3+50 x^4+\left (270 x-20 x^2\right ) \log (x)+2 \log ^2(x)\right )}{375 x^4-150 x^2 \log (x)+15 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((2*log(x)^2+(-20*x^2+270*x)*log(x)+50*x^4+1350*x^3-270*x)*exp(135*x/(log(x)-5*x^2))/(15*log(x)^2-150
*x^2*log(x)+375*x^4),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2240\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^2+2 x \log (x)+\log ^2(x)+e^{\frac {2 \left (25+e x^2+e x \log (x)\right )}{x^2+x \log (x)}} \left (-25-50 x+x^3+\left (-25+2 x^2\right ) \log (x)+x \log ^2(x)\right )}{x^2+2 x \log (x)+\log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((x*log(x)^2+(2*x^2-25)*log(x)+x^3-50*x-25)*exp((x*exp(1)*log(x)+x^2*exp(1)+25)/(x*log(x)+x^2))^2+lo
g(x)^2+2*x*log(x)+x^2)/(log(x)^2+2*x*log(x)+x^2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2344\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-15+5 x}{\left (39 x-8 x^2-4 x^3+x^4\right ) \log (x)}} \left (-585+315 x+20 x^2-35 x^3+5 x^4+\left (-585+240 x+140 x^2-100 x^3+15 x^4\right ) \log (x)\right )}{\left (1521 x^2-624 x^3-248 x^4+142 x^5-8 x^7+x^8\right ) \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((15*x^4-100*x^3+140*x^2+240*x-585)*log(x)+5*x^4-35*x^3+20*x^2+315*x-585)*exp((5*x-15)/(x^4-4*x^3-8*
x^2+39*x)/log(x))/(x^8-8*x^7+142*x^5-248*x^4-624*x^3+1521*x^2)/log(x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2570\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-16 x+256 \sqrt [5]{e} x-256 x^2-1024 x^3+\left (-48+768 \sqrt [5]{e}-768 x-3072 x^2\right ) \log (2)+\left (-16 x+256 \sqrt [5]{e} x+1024 x^3+\left (768 x+6144 x^2\right ) \log (2)\right ) \log (x) \log (\log (x))}{\left (x+256 e^{2/5} x+32 x^2+384 x^3+2048 x^4+4096 x^5+\sqrt [5]{e} \left (-32 x-512 x^2-2048 x^3\right )\right ) \log (2) \log (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((6144*x^2+768*x)*log(2)+256*x*exp(1/5)+1024*x^3-16*x)*log(x)*log(log(x))+(768*exp(1/5)-3072*x^2-76
8*x-48)*log(2)+256*x*exp(1/5)-1024*x^3-256*x^2-16*x)/(256*x*exp(1/5)^2+(-2048*x^3-512*x^2-32*x)*exp(1/5)+4096*
x^5+2048*x^4+384*x^3+32*x^2+x)/log(2)/log(x),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2697\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-28 x^2-48 x^3-20 x^4+(i \pi +\log (5-e))^4 \left (-20-10 \log \left (\frac {4}{x^2}\right )\right )+\left (-14 x^2-28 x^3-10 x^4\right ) \log \left (\frac {4}{x^2}\right )+(i \pi +\log (5-e))^3 \left (-80 x-40 x \log \left (\frac {4}{x^2}\right )\right )+(i \pi +\log (5-e))^2 \left (-48 x-120 x^2+\left (-20 x-60 x^2\right ) \log \left (\frac {4}{x^2}\right )\right )+(i \pi +\log (5-e)) \left (-96 x^2-80 x^3+\left (-48 x^2-40 x^3\right ) \log \left (\frac {4}{x^2}\right )\right )}{5 x^4+10 x^5+5 x^6+\left (20 x^4+20 x^5\right ) (i \pi +\log (5-e))+\left (10 x^3+30 x^4\right ) (i \pi +\log (5-e))^2+20 x^3 (i \pi +\log (5-e))^3+5 x^2 (i \pi +\log (5-e))^4} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(((-10*log(4/x^2)-20)*log(exp(1)-5)^4+(-40*x*log(4/x^2)-80*x)*log(exp(1)-5)^3+((-60*x^2-20*x)*log(4/x
^2)-120*x^2-48*x)*log(exp(1)-5)^2+((-40*x^3-48*x^2)*log(4/x^2)-80*x^3-96*x^2)*log(exp(1)-5)+(-10*x^4-28*x^3-14
*x^2)*log(4/x^2)-20*x^4-48*x^3-28*x^2)/(5*x^2*log(exp(1)-5)^4+20*x^3*log(exp(1)-5)^3+(30*x^4+10*x^3)*log(exp(1
)-5)^2+(20*x^5+20*x^4)*log(exp(1)-5)+5*x^6+10*x^5+5*x^4),x, algorithm="maxima")

[Out]

Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'a
ssume' command before evaluation *may* help (example of legal syntax is 'assume(4*log(%e-5)+1>0)', see `assume
?` for more

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2729\)

Maxima [F(-2)]

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

[In]

integrate(((2*x^2+3*x)*log(x)^3+(-4*x*exp(x)^3-4*exp(x)^2+(4*x^2+6*x)*exp(x)+2+x)*log(x)^2+((2*x^2+3*x)*exp(x)
^2+(4+2*x)*exp(x))*log(x)+(2+x)*exp(x)^2)/(x*exp(x)^2*log(x)^4+2*x*exp(x)^3*log(x)^3+x*exp(x)^4*log(x)^2),x, a
lgorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(2985\)

Maxima [F(-2)]

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

[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="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3034\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-3 x^2+\left (15 x+9 x^2\right ) \log (\log (5-\log (x)))}{(5+3 x) \log (\log (5-\log (x)))}} \left (75 x^2+45 x^3+\left (750 x^2+225 x^3+\left (-150 x^2-45 x^3\right ) \log (x)\right ) \log (5-\log (x)) \log (\log (5-\log (x)))+\left (-625-2625 x-2475 x^2-675 x^3+\left (125+525 x+495 x^2+135 x^3\right ) \log (x)\right ) \log (5-\log (x)) \log ^2(\log (5-\log (x)))\right )}{\left (-125-150 x-45 x^2+\left (25+30 x+9 x^2\right ) \log (x)\right ) \log (5-\log (x)) \log ^2(\log (5-\log (x)))} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((135*x^3+495*x^2+525*x+125)*log(x)-675*x^3-2475*x^2-2625*x-625)*log(5-log(x))*log(log(5-log(x)))^2
+((-45*x^3-150*x^2)*log(x)+225*x^3+750*x^2)*log(5-log(x))*log(log(5-log(x)))+45*x^3+75*x^2)*exp(((9*x^2+15*x)*
log(log(5-log(x)))-3*x^2)/(3*x+5)/log(log(5-log(x))))/((9*x^2+30*x+25)*log(x)-45*x^2-150*x-125)/log(5-log(x))/
log(log(5-log(x)))^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3050\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3330\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3379\)

Maxima [F(-2)]

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

[In]

integrate(((-3*log(x)-3)*exp(1/2/x/log(x))*exp(exp(1/2/x/log(x)))-6*x^2*log(x)^2)/(8*x^2*exp(4)*log(x)^2*exp(e
xp(1/2/x/log(x)))-8*x^3*exp(4)*log(x)^2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3386\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-180 x^2+60 x^3+e^{\frac {1}{4} (3+4 x)} \left (-36 x^2+24 x^3-3 x^4\right )+e^x \left (36 x^2-24 x^3+3 x^4\right )}{25-10 e^x+e^{2 x}+e^{\frac {1}{2} (3+4 x)}+e^{\frac {1}{4} (3+4 x)} \left (10-2 e^x\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-3*x^4+24*x^3-36*x^2)*exp(3/4+x)+(3*x^4-24*x^3+36*x^2)*exp(x)+60*x^3-180*x^2)/(exp(3/4+x)^2+(-2*ex
p(x)+10)*exp(3/4+x)+exp(x)^2-10*exp(x)+25),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3601\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x}{\log \left (-e^2+e^{\frac {7}{(5+x) \log (x)}}-x\right )}} \left (\left (25 x^2+10 x^3+x^4\right ) \log ^2(x)+e^{\frac {7}{(5+x) \log (x)}} \left (35 x+7 x^2+7 x^2 \log (x)\right )+\log ^2\left (-e^2+e^{\frac {7}{(5+x) \log (x)}}-x\right ) \left (e^{\frac {7}{(5+x) \log (x)}} \left (-25-10 x-x^2\right ) \log ^2(x)+\left (25 x+10 x^2+x^3+e^2 \left (25+10 x+x^2\right )\right ) \log ^2(x)\right )+\log \left (-e^2+e^{\frac {7}{(5+x) \log (x)}}-x\right ) \left (e^{\frac {7}{(5+x) \log (x)}} \left (25 x+10 x^2+x^3\right ) \log ^2(x)+\left (-25 x^2-10 x^3-x^4+e^2 \left (-25 x-10 x^2-x^3\right )\right ) \log ^2(x)\right )\right )}{\log ^2\left (-e^2+e^{\frac {7}{(5+x) \log (x)}}-x\right ) \left (e^{\frac {7}{(5+x) \log (x)}} \left (25 x^2+10 x^3+x^4\right ) \log ^2(x)+\left (-25 x^3-10 x^4-x^5+e^2 \left (-25 x^2-10 x^3-x^4\right )\right ) \log ^2(x)\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((-x^2-10*x-25)*log(x)^2*exp(7/log(x)/(5+x))+((x^2+10*x+25)*exp(2)+x^3+10*x^2+25*x)*log(x)^2)*log(e
xp(7/log(x)/(5+x))-exp(2)-x)^2+((x^3+10*x^2+25*x)*log(x)^2*exp(7/log(x)/(5+x))+((-x^3-10*x^2-25*x)*exp(2)-x^4-
10*x^3-25*x^2)*log(x)^2)*log(exp(7/log(x)/(5+x))-exp(2)-x)+(7*x^2*log(x)+7*x^2+35*x)*exp(7/log(x)/(5+x))+(x^4+
10*x^3+25*x^2)*log(x)^2)*exp(x/log(exp(7/log(x)/(5+x))-exp(2)-x))/((x^4+10*x^3+25*x^2)*log(x)^2*exp(7/log(x)/(
5+x))+((-x^4-10*x^3-25*x^2)*exp(2)-x^5-10*x^4-25*x^3)*log(x)^2)/log(exp(7/log(x)/(5+x))-exp(2)-x)^2,x, algorit
hm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3691\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-4096 x^3-768 x^6-48 x^9-x^{12}+\left (-73728+442368 x-516096 x^2-446976 x^3-18432 x^4-105984 x^5-82944 x^6-12096 x^7-7200 x^8-5184 x^9-864 x^{10}-162 x^{11}-108 x^{12}-18 x^{13}\right ) \log (x)+\left (73728-221184 x-202752 x^3-142848 x^4-13824 x^5-41472 x^6-17280 x^7-864 x^8-2592 x^9-864 x^{10}-54 x^{12}-18 x^{13}\right ) \log ^2(x)}{4096 x^3+768 x^6+48 x^9+x^{12}} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-18*x^13-54*x^12-864*x^10-2592*x^9-864*x^8-17280*x^7-41472*x^6-13824*x^5-142848*x^4-202752*x^3-221
184*x+73728)*log(x)^2+(-18*x^13-108*x^12-162*x^11-864*x^10-5184*x^9-7200*x^8-12096*x^7-82944*x^6-105984*x^5-18
432*x^4-446976*x^3-516096*x^2+442368*x-73728)*log(x)-x^12-48*x^9-768*x^6-4096*x^3)/(x^12+48*x^9+768*x^6+4096*x
^3),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3912\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-10 x^7 \log (2)+\left (45 x^4+5 x^9\right ) \log ^2(2)+\left (10 x^5+\left (-54 x^2-6 x^7\right ) \log (2)\right ) \log \left (9+x^5\right )+\left (9+x^5\right ) \log ^2\left (9+x^5\right )}{\left (9+x^5\right ) \log ^2(2)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((x^5+9)*log(x^5+9)^2+((-6*x^7-54*x^2)*log(2)+10*x^5)*log(x^5+9)+(5*x^9+45*x^4)*log(2)^2-10*x^7*log(
2))/(x^5+9)/log(2)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: sign: argument cannot be imaginary; found sqrt(sqrt(5)-5)

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(3971\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {4 x^2+x^2 \log (169)}{20 \log (50-x)}} \left (-4 x^2-x^2 \log (169)+\left (-400 x+8 x^2+\left (-100 x+2 x^2\right ) \log (169)\right ) \log (50-x)\right )}{(-1000+20 x) \log ^2(50-x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((2*(2*x^2-100*x)*log(13)+8*x^2-400*x)*log(-x+50)-2*x^2*log(13)-4*x^2)*exp(1/20*(2*x^2*log(13)+4*x^2
)/log(-x+50))/(20*x-1000)/log(-x+50)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4051\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-15+3 x}{x+\log (x)}} \left (15 x^3+12 x^4+3 x^5+e^x \left (-15-12 x-x^3\right )+\left (-15 x^2-12 x^3-2 x^4\right ) \log (15)+\left (9 x^4+e^x \left (-3 x-2 x^2\right )-7 x^3 \log (15)\right ) \log (x)+\left (-e^x x+3 x^3-2 x^2 \log (15)\right ) \log ^2(x)\right )}{2 x^3+4 x^2 \log (x)+2 x \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-exp(x)*x-2*x^2*log(15)+3*x^3)*log(x)^2+((-2*x^2-3*x)*exp(x)-7*x^3*log(15)+9*x^4)*log(x)+(-x^3-12*
x-15)*exp(x)+(-2*x^4-12*x^3-15*x^2)*log(15)+3*x^5+12*x^4+15*x^3)*exp((3*x-15)/(x+log(x)))/(2*x*log(x)^2+4*x^2*
log(x)+2*x^3),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4134\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {180 x^3}{(-1+x) \log (x)}} \left (-180 x^2+180 x^3+\left (540 x^2-360 x^3\right ) \log (x)\right )}{\left (1-2 x+x^2\right ) \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-360*x^3+540*x^2)*log(x)+180*x^3-180*x^2)*exp(-180*x^3/(-1+x)/log(x))/(x^2-2*x+1)/log(x)^2,x, algo
rithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4177\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-4+\frac {-2 x+e^4 \log \left (x+x^2\right ) \log (\log (x))}{e^4 \log \left (x+x^2\right )}} \left (\left (12 x+24 x^2\right ) \log (x)+\left (-12 x-12 x^2\right ) \log (x) \log \left (x+x^2\right )+e^4 (6+6 x) \log ^2\left (x+x^2\right )\right )}{\left (x+x^2\right ) \log (x) \log ^2\left (x+x^2\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((6+6*x)*exp(4)*log(x^2+x)^2+(-12*x^2-12*x)*log(x)*log(x^2+x)+(24*x^2+12*x)*log(x))*exp((exp(4)*log(
x^2+x)*log(log(x))-2*x)/exp(4)/log(x^2+x))/(x^2+x)/exp(4)/log(x)/log(x^2+x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4476\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {81 x^2+18 x^4+x^6+\left (162 x+18 x^3\right ) \log (2)+81 \log ^2(2)+\left (-81 x^2-18 x^3-18 x^4-2 x^5-x^6+\left (-162 x-18 x^2-18 x^3\right ) \log (2)-81 \log ^2(2)\right ) \log (x)+\left (18 x^3+x^4+2 x^5+18 x^2 \log (2)\right ) \log ^2(x)-x^4 \log ^3(x)+e^{-\frac {3}{-9 x-x^3-9 \log (2)+x^2 \log (x)}} \left (27 x+78 x^2+9 x^3+18 x^4+x^6+\left (162 x+18 x^3\right ) \log (2)+81 \log ^2(2)+\left (-6 x^2-18 x^3-2 x^5-18 x^2 \log (2)\right ) \log (x)+x^4 \log ^2(x)\right )}{81 x^4+18 x^6+x^8+\left (162 x^3+18 x^5\right ) \log (2)+81 x^2 \log ^2(2)+\left (-18 x^5-2 x^7-18 x^4 \log (2)\right ) \log (x)+x^6 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((x^4*log(x)^2+(-18*x^2*log(2)-2*x^5-18*x^3-6*x^2)*log(x)+81*log(2)^2+(18*x^3+162*x)*log(2)+x^6+18*x
^4+9*x^3+78*x^2+27*x)*exp(-3/(x^2*log(x)-9*log(2)-x^3-9*x))-x^4*log(x)^3+(18*x^2*log(2)+2*x^5+x^4+18*x^3)*log(
x)^2+(-81*log(2)^2+(-18*x^3-18*x^2-162*x)*log(2)-x^6-2*x^5-18*x^4-18*x^3-81*x^2)*log(x)+81*log(2)^2+(18*x^3+16
2*x)*log(2)+x^6+18*x^4+81*x^2)/(x^6*log(x)^2+(-18*x^4*log(2)-2*x^7-18*x^5)*log(x)+81*x^2*log(2)^2+(18*x^5+162*
x^3)*log(2)+x^8+18*x^6+81*x^4),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4629\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {1}{2} (-1-10 x)} (-17-85 x)+e^x \left (-3 x^2+e^{\frac {1}{2} (-1-10 x)} (3+18 x)\right )}{3 e^{-1-10 x}-6 e^{\frac {1}{2} (-1-10 x)} x+3 x^2} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((18*x+3)*exp(-5*x-1/2)-3*x^2)*exp(x)+(-85*x-17)*exp(-5*x-1/2))/(3*exp(-5*x-1/2)^2-6*x*exp(-5*x-1/2
)+3*x^2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(4793\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {1250}{x \log (2 x)}} (-2500-2500 \log (2 x))+e^{-\frac {2500}{x \log (2 x)}} (2500+2500 \log (2 x))}{x^2 \log ^2(2 x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((2500*log(2*x)+2500)*exp(-1250/x/log(2*x))^2+(-2500*log(2*x)-2500)*exp(-1250/x/log(2*x)))/x^2/log(2
*x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5539\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-7 x+e^{36+e^4+12 x^2+x^4+e^2 \left (-12-2 x^2\right )} x}{16+\log (x)}} \left (-105+e^{36+e^4+12 x^2+x^4+e^2 \left (-12-2 x^2\right )} \left (15+384 x^2-64 e^2 x^2+64 x^4\right )+\left (-7+e^{36+e^4+12 x^2+x^4+e^2 \left (-12-2 x^2\right )} \left (1+24 x^2-4 e^2 x^2+4 x^4\right )\right ) \log (x)\right )}{256+32 \log (x)+\log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((-4*x^2*exp(2)+4*x^4+24*x^2+1)*exp(exp(2)^2+(-2*x^2-12)*exp(2)+x^4+12*x^2+36)-7)*log(x)+(-64*x^2*e
xp(2)+64*x^4+384*x^2+15)*exp(exp(2)^2+(-2*x^2-12)*exp(2)+x^4+12*x^2+36)-105)*exp((x*exp(exp(2)^2+(-2*x^2-12)*e
xp(2)+x^4+12*x^2+36)-7*x)/(16+log(x)))/(log(x)^2+32*log(x)+256),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5649\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {x}{4 \log (x)}} \left (-e^{\frac {625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}} x^5-x^6-x^7+\left (e^{\frac {625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}} x^5+x^6+x^7\right ) \log (x)+\left (4 x^5+8 x^6+e^{\frac {625-1000 x+100 x^2+440 x^3-71 x^4-88 x^5+4 x^6+8 x^7+x^8}{x^4}} \left (-10000+12000 x-800 x^2-1760 x^3-352 x^5+32 x^6+96 x^7+16 x^8\right )\right ) \log ^2(x)\right )}{4 x^5 \log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(1/4*(((16*x^8+96*x^7+32*x^6-352*x^5-1760*x^3-800*x^2+12000*x-10000)*exp((x^8+8*x^7+4*x^6-88*x^5-71*x
^4+440*x^3+100*x^2-1000*x+625)/x^4)+8*x^6+4*x^5)*log(x)^2+(x^5*exp((x^8+8*x^7+4*x^6-88*x^5-71*x^4+440*x^3+100*
x^2-1000*x+625)/x^4)+x^7+x^6)*log(x)-x^5*exp((x^8+8*x^7+4*x^6-88*x^5-71*x^4+440*x^3+100*x^2-1000*x+625)/x^4)-x
^7-x^6)*exp(1/4*x/log(x))/x^5/log(x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5688\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {\left (3+12 x^2\right ) \log ^2(x)+e^{\frac {4+4 x \log (x)}{x \log (x)}} \left (-80 x-80 x \log (x)+60 x^2 \log ^2(x)\right )+e^{\frac {2 (4+4 x \log (x))}{x \log (x)}} \left (-200 x-200 x \log (x)+75 x^2 \log ^2(x)\right )}{\log ^2(x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((75*x^2*log(x)^2-200*x*log(x)-200*x)*exp((4*x*log(x)+4)/x/log(x))^2+(60*x^2*log(x)^2-80*x*log(x)-80
*x)*exp((4*x*log(x)+4)/x/log(x))+(12*x^2+3)*log(x)^2)/log(x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(5709\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-10 x+e^{3/4} x-x^4+\left (50-50 x^3-x^6+e^{3/4} \left (-5+4 x^3\right )\right ) \log (x)+\left (-20 x+2 e^{3/4} x+x^4\right ) \log (x) \log (\log (x))}{\left (25 x^2-10 x^5+x^8\right ) \log (x)+\left (-10 x^3+2 x^6\right ) \log (x) \log (\log (x))+x^4 \log (x) \log ^2(\log (x))} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((2*x*exp(3/4)+x^4-20*x)*log(x)*log(log(x))+((4*x^3-5)*exp(3/4)-x^6-50*x^3+50)*log(x)+x*exp(3/4)-x^4
-10*x)/(x^4*log(x)*log(log(x))^2+(2*x^6-10*x^3)*log(x)*log(log(x))+(x^8-10*x^5+25*x^2)*log(x)),x, algorithm="m
axima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6221\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-x+\frac {e^{-x} \left (2 e^x+5 x\right )}{\log (-3+2 x)}} \left (100 e^x+250 x+\left (375-625 x+250 x^2\right ) \log (-3+2 x)\right )}{(-3+2 x) \log ^2(-3+2 x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((250*x^2-625*x+375)*log(-3+2*x)+100*exp(x)+250*x)*exp((2*exp(x)+5*x)/exp(x)/log(-3+2*x))/(-3+2*x)/e
xp(x)/log(-3+2*x)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6237\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-8 x+10 x^2-2 x^3+e^{2+2 x} \left (-20-6 x+2 x^2\right )+e^{1+x} \left (16-2 x-8 x^2+2 x^3\right )+e^{\frac {x^2}{4}} \left (-2 x+2 x^2+e^{1+x} \left (4-3 x^2\right )+e^{2+2 x} \left (-4+x^2\right )\right )+\left (e^{2+2 x} (10-2 x)+e^{1+x} \left (-8+10 x-2 x^2\right )+e^{\frac {x^2}{4}} \left (e^{2+2 x} (2-x)+e^{1+x} (-2+2 x)\right )\right ) \log \left (-4-e^{\frac {x^2}{4}}+x\right )}{e^{2+2 x+\frac {x^2}{4}}+e^{2+2 x} (4-x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((((2-x)*exp(1+x)^2+(-2+2*x)*exp(1+x))*exp(1/4*x^2)+(-2*x+10)*exp(1+x)^2+(-2*x^2+10*x-8)*exp(1+x))*l
og(-exp(1/4*x^2)+x-4)+((x^2-4)*exp(1+x)^2+(-3*x^2+4)*exp(1+x)+2*x^2-2*x)*exp(1/4*x^2)+(2*x^2-6*x-20)*exp(1+x)^
2+(2*x^3-8*x^2-2*x+16)*exp(1+x)-2*x^3+10*x^2-8*x)/(exp(1+x)^2*exp(1/4*x^2)+(-x+4)*exp(1+x)^2),x, algorithm="ma
xima")

[Out]

Exception raised: RuntimeError >> ECL says: Memory limit reached. Please jump to an outer pointer, quit progra
m and enlarge thememory limits before executing the program again.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6266\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {3 e^{x^2}}{\log ((4-x) \log (x))}} \left (e^{x^2} (60-15 x) \log (4)-15 e^{x^2} x \log (4) \log (x)+e^{x^2} \left (-120 x^2+30 x^3\right ) \log (4) \log (x) \log ((4-x) \log (x))\right )}{\left (-4 x+x^2\right ) \log (x) \log ^2((4-x) \log (x))} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((2*(30*x^3-120*x^2)*log(2)*exp(x^2)*log(x)*log((-x+4)*log(x))-30*x*log(2)*exp(x^2)*log(x)+2*(-15*x+6
0)*log(2)*exp(x^2))*exp(3*exp(x^2)/log((-x+4)*log(x)))/(x^2-4*x)/log(x)/log((-x+4)*log(x))^2,x, algorithm="max
ima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6303\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {400-1200 x+900 x^2+e^{\frac {x^2}{-2+3 x}} \left (20 x^3-15 x^4\right )}{1600-3200 x-800 x^2+2400 x^3+900 x^4+e^{2 e^5} \left (4 x^2-12 x^3+9 x^4\right )+e^{\frac {2 x^2}{-2+3 x}} \left (4 x^2-12 x^3+9 x^4\right )+e^{\frac {x^2}{-2+3 x}} \left (160 x-400 x^2+120 x^3+180 x^4\right )+e^{e^5} \left (160 x-400 x^2+120 x^3+180 x^4+e^{\frac {x^2}{-2+3 x}} \left (8 x^2-24 x^3+18 x^4\right )\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-15*x^4+20*x^3)*exp(x^2/(-2+3*x))+900*x^2-1200*x+400)/((9*x^4-12*x^3+4*x^2)*exp(exp(5))^2+((18*x^4
-24*x^3+8*x^2)*exp(x^2/(-2+3*x))+180*x^4+120*x^3-400*x^2+160*x)*exp(exp(5))+(9*x^4-12*x^3+4*x^2)*exp(x^2/(-2+3
*x))^2+(180*x^4+120*x^3-400*x^2+160*x)*exp(x^2/(-2+3*x))+900*x^4+2400*x^3-800*x^2-3200*x+1600),x, algorithm="m
axima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6376\)

Maxima [F(-2)]

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

[In]

integrate(((3*log(x)*log(log(x))-3)*exp(3/2*x/log(log(x)))^2+log(x)*log(log(x))^2)/log(x)/log(log(x))^2,x, alg
orithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6406\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-\frac {e^x}{\log (-9+x)}} \left (e^x x+e^x \left (9 x-x^2\right ) \log (-9+x)+(9-x) \log ^2(-9+x)\right )}{\left (-45 x^2+5 x^3+e \left (-9 x^2+x^3\right )\right ) \log ^2(-9+x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((9-x)*log(x-9)^2+(-x^2+9*x)*exp(x)*log(x-9)+exp(x)*x)*exp(-exp(x)/log(x-9))/((x^3-9*x^2)*exp(1)+5*x
^3-45*x^2)/log(x-9)^2,x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6530\)

Maxima [F(-2)]

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

[In]

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

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6604\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{\frac {-8+x-2 \log (x)+10 x \log (4-2 x-\log (5))}{2 x \log (4-2 x-\log (5))}} \left (8 x-x^2+(-12+6 x+3 \log (5)) \log (4-2 x-\log (5))+\log (x) (2 x+(-4+2 x+\log (5)) \log (4-2 x-\log (5)))\right )}{\left (-4 x^2+2 x^3+x^2 \log (5)\right ) \log ^2(4-2 x-\log (5))} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate((((log(5)+2*x-4)*log(-log(5)+4-2*x)+2*x)*log(x)+(3*log(5)+6*x-12)*log(-log(5)+4-2*x)-x^2+8*x)*exp(1/
2*(-2*log(x)+10*x*log(-log(5)+4-2*x)-8+x)/x/log(-log(5)+4-2*x))/(x^2*log(5)+2*x^3-4*x^2)/log(-log(5)+4-2*x)^2,
x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6634\)

Maxima [F(-2)]

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

[In]

integrate((((x^2-3*x)*log(-x+3)-x*exp(3)-x^2)*exp(-log(log(-x+3))+exp(exp(5)))*exp((exp(3)+x)*exp(-log(log(-x+
3))+exp(exp(5))))+(-3+x)*log(-x+3))/(x^2-3*x)/log(-x+3),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not
of the expected type LIST

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6772\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {-2125 x^2+11750 x^3-13125 x^4-9000 x^5+e^{\frac {x}{-1+3 x}} \left (75-375 x+575 x^2\right )}{5625 x^2-46500 x^3+131350 x^4-136700 x^5+18025 x^6+28200 x^7+3600 x^8+e^{\frac {2 x}{-1+3 x}} \left (9-78 x+241 x^2-312 x^3+144 x^4\right )+e^{\frac {x}{-1+3 x}} \left (-450 x+3810 x^2-11270 x^3+13190 x^4-4080 x^5-1440 x^6\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((575*x^2-375*x+75)*exp(x/(-1+3*x))-9000*x^5-13125*x^4+11750*x^3-2125*x^2)/((144*x^4-312*x^3+241*x^2
-78*x+9)*exp(x/(-1+3*x))^2+(-1440*x^6-4080*x^5+13190*x^4-11270*x^3+3810*x^2-450*x)*exp(x/(-1+3*x))+3600*x^8+28
200*x^7+18025*x^6-136700*x^5+131350*x^4-46500*x^3+5625*x^2),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6945\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{16} \left (54+3 e^2-54 x-18 x^2-12 e x^2-18 x^3\right )+e^{16-\frac {x}{2}} \left (36+e^2 (6-3 x)-36 x-12 x^2-15 e x^2-12 x^3\right )+e^{16+\frac {x}{2}} \left (36-36 x-12 x^2-3 e x^2-12 x^3\right )+e^{16+x} \left (9-9 x-3 x^2-3 x^3\right )+e^{16-x} \left (9+e^2 (3-3 x)-9 x-3 x^2-6 e x^2-3 x^3\right )}{9+e^4+4 e^3 x+6 x^2+x^4+e^2 \left (6+6 x^2\right )+e \left (12 x+4 x^3\right )+e^{2 x} \left (9+6 x^2+x^4\right )+e^{3 x/2} \left (36+24 x^2+4 x^4+e \left (12 x+4 x^3\right )\right )+e^x \left (54+36 x^2+6 x^4+e^2 \left (6+6 x^2\right )+e \left (36 x+12 x^3\right )\right )+e^{x/2} \left (36+4 e^3 x+24 x^2+4 x^4+e^2 \left (12+12 x^2\right )+e \left (36 x+12 x^3\right )\right )} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-3*x^3-3*x^2-9*x+9)*exp(16-x)*exp(1/2*x)^4+(-3*x^2*exp(1)-12*x^3-12*x^2-36*x+36)*exp(16-x)*exp(1/2
*x)^3+(3*exp(1)^2-12*x^2*exp(1)-18*x^3-18*x^2-54*x+54)*exp(16-x)*exp(1/2*x)^2+((-3*x+6)*exp(1)^2-15*x^2*exp(1)
-12*x^3-12*x^2-36*x+36)*exp(16-x)*exp(1/2*x)+((-3*x+3)*exp(1)^2-6*x^2*exp(1)-3*x^3-3*x^2-9*x+9)*exp(16-x))/((x
^4+6*x^2+9)*exp(1/2*x)^4+((4*x^3+12*x)*exp(1)+4*x^4+24*x^2+36)*exp(1/2*x)^3+((6*x^2+6)*exp(1)^2+(12*x^3+36*x)*
exp(1)+6*x^4+36*x^2+54)*exp(1/2*x)^2+(4*x*exp(1)^3+(12*x^2+12)*exp(1)^2+(12*x^3+36*x)*exp(1)+4*x^4+24*x^2+36)*
exp(1/2*x)+exp(1)^4+4*x*exp(1)^3+(6*x^2+6)*exp(1)^2+(4*x^3+12*x)*exp(1)+x^4+6*x^2+9),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(6964\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {e^{-2 x+e^{-2 x} \left (x^5+2 x^4 \log (5)+x^3 \log ^2(5)+e^x \left (-2 x^3-2 x^2 \log (5)\right ) \log (x)+e^{2 x} x \log ^2(x)+\left (e^x \left (-2 x^3-2 x^2 \log (5)\right )+2 e^{2 x} x \log (x)\right ) \log \left (-\frac {\log (x)}{-2+x}\right )+e^{2 x} x \log ^2\left (-\frac {\log (x)}{-2+x}\right )\right )} \left (e^x \left (4 x^2-2 x^3+\left (4 x-2 x^2\right ) \log (5)\right )+\left (-10 x^4+9 x^5-2 x^6+e^{2 x} (-4+2 x)+\left (-16 x^3+16 x^4-4 x^5\right ) \log (5)+\left (-6 x^2+7 x^3-2 x^4\right ) \log ^2(5)+e^x \left (4 x^2+4 x \log (5)\right )\right ) \log (x)+\left (-4 e^{2 x}+e^x \left (12 x^2-10 x^3+2 x^4+\left (8 x-8 x^2+2 x^3\right ) \log (5)\right )\right ) \log ^2(x)+e^{2 x} (-2+x) \log ^3(x)+\left (e^{2 x} (-4+2 x)+\left (-4 e^{2 x}+e^x \left (12 x^2-10 x^3+2 x^4+\left (8 x-8 x^2+2 x^3\right ) \log (5)\right )\right ) \log (x)+e^{2 x} (-4+2 x) \log ^2(x)\right ) \log \left (-\frac {\log (x)}{-2+x}\right )+e^{2 x} (-2+x) \log (x) \log ^2\left (-\frac {\log (x)}{-2+x}\right )\right )}{(-2+x) \log (x)} \, dx=\text {Exception raised: RuntimeError} \]

[In]

integrate(((-2+x)*exp(x)^2*log(x)*log(-log(x)/(-2+x))^2+((2*x-4)*exp(x)^2*log(x)^2+(-4*exp(x)^2+((2*x^3-8*x^2+
8*x)*log(5)+2*x^4-10*x^3+12*x^2)*exp(x))*log(x)+(2*x-4)*exp(x)^2)*log(-log(x)/(-2+x))+(-2+x)*exp(x)^2*log(x)^3
+(-4*exp(x)^2+((2*x^3-8*x^2+8*x)*log(5)+2*x^4-10*x^3+12*x^2)*exp(x))*log(x)^2+((2*x-4)*exp(x)^2+(4*x*log(5)+4*
x^2)*exp(x)+(-2*x^4+7*x^3-6*x^2)*log(5)^2+(-4*x^5+16*x^4-16*x^3)*log(5)-2*x^6+9*x^5-10*x^4)*log(x)+((-2*x^2+4*
x)*log(5)-2*x^3+4*x^2)*exp(x))*exp((x*exp(x)^2*log(-log(x)/(-2+x))^2+(2*x*exp(x)^2*log(x)+(-2*x^2*log(5)-2*x^3
)*exp(x))*log(-log(x)/(-2+x))+x*exp(x)^2*log(x)^2+(-2*x^2*log(5)-2*x^3)*exp(x)*log(x)+x^3*log(5)^2+2*x^4*log(5
)+x^5)/exp(x)^2)/(-2+x)/exp(x)^2/log(x),x, algorithm="maxima")

[Out]

Exception raised: RuntimeError >> ECL says: THROW: The catch RAT-ERR is undefined.

input file name 10_Hebisch/Hebisch_Problems.txt

Test file number \(210\)

Integral number in file \(7076\)