Integrals 2301 to 2400

Maxima [F(-2)]

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

[In]

integrate(x^3*(e*x^4+d)/(c*x^8+b*x^4+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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(44\)

Maxima [F(-2)]

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

[In]

integrate((e*x^4+d)/x/(c*x^8+b*x^4+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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(48\)

Maxima [F(-2)]

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

[In]

integrate(x^3/(a+c/x^2+b/x)/(e*x+d),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 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 \(61\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(a+c/x^2+b/x)/(e*x+d),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 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 \(62\)

Maxima [F(-2)]

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

[In]

integrate(x/(a+c/x^2+b/x)/(e*x+d),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 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 \(63\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/(e*x+d),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 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 \(64\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x/(e*x+d),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 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 \(65\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^2/(e*x+d),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 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 \(66\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^3/(e*x+d),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 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 \(67\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^4/(e*x+d),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 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 \(68\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^5/(e*x+d),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 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 \(69\)

Maxima [F(-2)]

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

[In]

integrate(x^3/(a+c/x^2+b/x)/(e*x+d)^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 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 \(70\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(a+c/x^2+b/x)/(e*x+d)^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 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 \(71\)

Maxima [F(-2)]

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

[In]

integrate(x/(a+c/x^2+b/x)/(e*x+d)^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 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 \(72\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/(e*x+d)^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 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 \(73\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x/(e*x+d)^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 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 \(74\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^2/(e*x+d)^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 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 \(75\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^3/(e*x+d)^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 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 \(76\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^4/(e*x+d)^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 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 \(77\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+c/x^2+b/x)/x^5/(e*x+d)^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 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 \(78\)

Maxima [F(-2)]

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

[In]

integrate(x^5/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(11\)

Maxima [F(-2)]

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

[In]

integrate(x^4/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(12\)

Maxima [F(-2)]

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

[In]

integrate(x^3/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(13\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(14\)

Maxima [F(-2)]

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

[In]

integrate(x/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(15\)

Maxima [F(-2)]

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

[In]

integrate(1/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(16\)

Maxima [F(-2)]

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

[In]

integrate(1/x/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(17\)

Maxima [F(-2)]

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

[In]

integrate(1/x^2/(c*x^4+b*x^3+a*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(4*a*c-b^2>0)', see `assume?` f
or more deta

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 \(18\)

Maxima [F(-2)]

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

[In]

integrate(x^8/(c*x^4+b*x^3+a*x^2)^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 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 \(19\)

Maxima [F(-2)]

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

[In]

integrate(x^7/(c*x^4+b*x^3+a*x^2)^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 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 \(20\)

Maxima [F(-2)]

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

[In]

integrate(x^6/(c*x^4+b*x^3+a*x^2)^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 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 \(21\)

Maxima [F(-2)]

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

[In]

integrate(x^5/(c*x^4+b*x^3+a*x^2)^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 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 \(22\)

Maxima [F(-2)]

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

[In]

integrate(x^4/(c*x^4+b*x^3+a*x^2)^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 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 \(23\)

Maxima [F(-2)]

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

[In]

integrate(x^3/(c*x^4+b*x^3+a*x^2)^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 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 \(24\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(c*x^4+b*x^3+a*x^2)^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 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 \(25\)

Maxima [F(-2)]

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

[In]

integrate(x/(c*x^4+b*x^3+a*x^2)^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 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 \(26\)

Maxima [F(-2)]

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

[In]

integrate(1/(c*x^4+b*x^3+a*x^2)^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 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 \(27\)

Maxima [F(-2)]

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

[In]

integrate(1/x/(c*x^4+b*x^3+a*x^2)^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 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 \(28\)

Maxima [F(-2)]

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

[In]

integrate(1/x/(c*x^2+b*x+a)^(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 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 \(129\)

Maxima [F(-2)]

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

[In]

integrate(1/x/(c*x^4+b*x^2+a)^(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 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 \(133\)

Maxima [F(-2)]

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

[In]

integrate(1/(d*x^3+c*x^2+b*x),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*b*d-c^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.1_Rational_functions.txt

Test file number \(51\)

Integral number in file \(26\)

Maxima [F(-2)]

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

[In]

integrate(1/(b*x+c*(e*x+d)^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*c*d*e+b>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.1_Rational_functions.txt

Test file number \(51\)

Integral number in file \(489\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*x+c*(e*x+d)^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*e^2>0)', see `assume?` f
or more deta

input file name 1_Algebraic_functions/1.3_Miscellaneous/1.3.1_Rational_functions.txt

Test file number \(51\)

Integral number in file \(490\)

Maxima [F(-2)]

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

[In]

integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(x^3+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(d^2-4*(d+2)>0)', see `assume?`
 for more de

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

Test file number \(52\)

Integral number in file \(202\)

Maxima [F(-2)]

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

[In]

integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(-x^3+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(d^2-4*(2-d)>0)', see `assume?`
 for more de

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

Test file number \(52\)

Integral number in file \(203\)

Maxima [F(-2)]

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

[In]

integrate((-x^2+2*x+2)/(d*x+x^2-d+2)/(x^3-1)^(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(d^2-4*(2-d)>0)', see `assume?`
 for more de

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

Test file number \(52\)

Integral number in file \(204\)

Maxima [F(-2)]

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

[In]

integrate((-x^2-2*x+2)/(d*x+x^2+d+2)/(-x^3-1)^(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(d^2-4*(d+2)>0)', see `assume?`
 for more de

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

Test file number \(52\)

Integral number in file \(205\)

Maxima [F(-2)]

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

[In]

integrate(((b-x)*(-a+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-a>0)', see `assume?` for mor
e details)Is

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

Test file number \(52\)

Integral number in file \(259\)

Maxima [F(-2)]

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

[In]

integrate(1/((b-x)*(-a+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-a>0)', see `assume?` for mor
e details)Is

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

Test file number \(52\)

Integral number in file \(261\)

Maxima [F(-2)]

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

[In]

integrate(x^5*(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(263\)

Maxima [F(-2)]

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

[In]

integrate(x^3*(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(264\)

Maxima [F(-2)]

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

[In]

integrate(x*(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(265\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(266\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^3,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(267\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^5,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(268\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(1/2)/x^7,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(269\)

Maxima [F(-2)]

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

[In]

integrate(x^5*(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(276\)

Maxima [F(-2)]

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

[In]

integrate(x^3*(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(277\)

Maxima [F(-2)]

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

[In]

integrate(x*(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(278\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(279\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^3,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(280\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^5,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(281\)

Maxima [F(-2)]

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

[In]

integrate((e*(b*x^2+a)/(d*x^2+c))^(3/2)/x^7,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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(282\)

Maxima [F(-2)]

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

[In]

integrate(x^5/(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(296\)

Maxima [F(-2)]

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

[In]

integrate(x^3/(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(297\)

Maxima [F(-2)]

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

[In]

integrate(x/(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(298\)

Maxima [F(-2)]

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

[In]

integrate(1/x/(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(299\)

Maxima [F(-2)]

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

[In]

integrate(1/x^3/(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(300\)

Maxima [F(-2)]

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

[In]

integrate(1/x^5/(e*(b*x^2+a)/(d*x^2+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(e>0)', see `assume?` for more
details)Is e

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

Test file number \(52\)

Integral number in file \(301\)

Maxima [F(-2)]

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

[In]

integrate(x^5/(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(307\)

Maxima [F(-2)]

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

[In]

integrate(x^3/(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(308\)

Maxima [F(-2)]

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

[In]

integrate(x/(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(309\)

Maxima [F(-2)]

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

[In]

integrate(1/x/(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(310\)

Maxima [F(-2)]

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

[In]

integrate(1/x^3/(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(311\)

Maxima [F(-2)]

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

[In]

integrate(1/x^5/(e*(b*x^2+a)/(d*x^2+c))^(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 1_Algebraic_functions/1.3_Miscellaneous/1.3.2_Algebraic_functions.txt

Test file number \(52\)

Integral number in file \(312\)

Maxima [F(-2)]

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

[In]

integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^3,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^2*f^2-4*a*e^2>0)', see `assu
me?` for mor

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

Test file number \(52\)

Integral number in file \(473\)

Maxima [F(-2)]

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

[In]

integrate((d+e*x+f*(a+b*x+e^2*x^2/f^2)^(1/2))^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^2*f^2-4*a*e^2>0)', see `assu
me?` for mor

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

Test file number \(52\)

Integral number in file \(474\)

Maxima [F(-2)]

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

[In]

integrate(d+e*x+f*(a+b*x+e^2*x^2/f^2)^(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^2*f^2-4*a*e^2>0)', see `assu
me?` for mor

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

Test file number \(52\)

Integral number in file \(475\)

Maxima [F(-2)]

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

[In]

integrate(x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+a)^(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-4*b>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(687\)

Maxima [F(-2)]

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

[In]

integrate(x*(b*x^2+x^2+a+1)/(x^2+1)/(b*x^2+a)^(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(4*a-4*b>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(688\)

Maxima [F(-2)]

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

[In]

integrate(x/(b*x^2+a)^(5/2)+x/(b*x^2+a)^(3/2)+x/(x^2+1)/(b*x^2+a)^(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-4*b>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(689\)

Maxima [F(-2)]

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

[In]

integrate(x*(b^2*x^4+b*x^4+2*a*b*x^2+a*x^2+b*x^2+a^2+x^2+a+1)/(x^2+1)/(b*x^2+a)^(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-4*b>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(690\)

Maxima [F(-2)]

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

[In]

integrate((x^2-1)/x^3/(a-b+b/x^2)^(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-4*b>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(811\)

Maxima [F(-2)]

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

[In]

integrate((x^2-1)/x^3/(a+b*(-1+1/x^2))^(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-4*b>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(812\)

Maxima [F(-2)]

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

[In]

integrate((c*x^2+b*x+a)/(e*x+d)^3/(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((e-d)*(e+d)>0)', see `assume?`
 for more de

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

Test file number \(52\)

Integral number in file \(832\)

Maxima [F(-2)]

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

[In]

integrate(1/((b*x+a)*(d*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(a*d-b*c>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(955\)

Maxima [F(-2)]

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

[In]

integrate(1/((b*x+a)*(-d*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(a*d-b*c>0)', see `assume?` for
 more detail

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

Test file number \(52\)

Integral number in file \(956\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*exp(x)+c*exp(2*x)),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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(509\)

Maxima [F(-2)]

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

[In]

integrate(x/(a+b*exp(x)+c*exp(2*x)),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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(514\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(a+b*exp(x)+c*exp(2*x)),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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(519\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*f^(d*x+c)+c*f^(2*d*x+2*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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(521\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(522\)

Maxima [F(-2)]

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

[In]

integrate(x/(a+b*f^(d*x+c)+c*f^(2*d*x+2*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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(524\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(526\)

Maxima [F(-2)]

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

[In]

integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(527\)

Maxima [F(-2)]

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

[In]

integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),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 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(528\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b/exp(x)+c*exp(x)),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*b*c-a^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(537\)

Maxima [F(-2)]

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

[In]

integrate(x/(a+b/exp(x)+c*exp(x)),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(a^2-4*b*c>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(538\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(a+b/exp(x)+c*exp(x)),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(a^2-4*b*c>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(539\)

Maxima [F(-2)]

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

[In]

integrate(1/(a+b*f^(-d*x-c)+c*f^(d*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*b*c-a^2>0)', see `assume?` f
or more deta

input file name 2_Exponentials/2.3_Exponential_functions.txt

Test file number \(55\)

Integral number in file \(540\)