2.2.0 Integrals 2101 to 2200

Integrals 2101 to 2200

Maxima [F(-2)]

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

[In]

integrate(1/(e*x^2+d)/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(40\)

Integral number in ﬁle \(268\)

Maxima [F(-2)]

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

[In]

integrate(1/(e*x^2+d)^2/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(40\)

Integral number in ﬁle \(269\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(40\)

Integral number in ﬁle \(274\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(40\)

Integral number in ﬁle \(275\)

Maxima [F(-2)]

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

[In]

integrate((e*x^2+d)^(5/2)*(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(40\)

Integral number in ﬁle \(276\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(40\)

Integral number in ﬁle \(277\)

Maxima [F(-2)]

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

[In]

integrate((e*x^2+d)^(1/2)*(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(40\)

Integral number in ﬁle \(278\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(40\)

Integral number in ﬁle \(279\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(40\)

Integral number in ﬁle \(280\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(40\)

Integral number in ﬁle \(281\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(40\)

Integral number in ﬁle \(397\)

Maxima [F(-2)]

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

[In]

integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(102\)

Maxima [F(-2)]

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

[In]

integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(103\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(104\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(105\)

Maxima [F(-2)]

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

[In]

integrate((B*x^2+A)/x^3/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(106\)

Maxima [F(-2)]

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

[In]

integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(112\)

Maxima [F(-2)]

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

[In]

integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(113\)

Maxima [F(-2)]

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

[In]

integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(114\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(115\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(116\)

Maxima [F(-2)]

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

[In]

integrate((B*x^2+A)/x^3/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(117\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {x^{11} \left (A+B x^2\right )}{\left (a+b x^2+c x^4\right )^3} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate(x^11*(B*x^2+A)/(c*x^4+b*x^2+a)^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(4*a*c-b^2>0)', see `assume?` f

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(124\)

Maxima [F(-2)]

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

[In]

integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2+a)^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(4*a*c-b^2>0)', see `assume?` f

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(125\)

Maxima [F(-2)]

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

[In]

integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2+a)^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(4*a*c-b^2>0)', see `assume?` f

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(126\)

Maxima [F(-2)]

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

[In]

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

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(127\)

Maxima [F(-2)]

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

[In]

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

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(128\)

Maxima [F(-2)]

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

[In]

integrate(x*(B*x^2+A)/(c*x^4+b*x^2+a)^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(4*a*c-b^2>0)', see `assume?` f

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(129\)

Maxima [F(-2)]

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

[In]

integrate((B*x^2+A)/x/(c*x^4+b*x^2+a)^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(4*a*c-b^2>0)', see `assume?` f

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(130\)

Maxima [F(-2)]

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

[In]

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

or more deta

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

Test ﬁle number \(41\)

Integral number in ﬁle \(131\)

Maxima [F(-2)]

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

[In]

integrate(x^5*(B*x^2+A)/(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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(169\)

Maxima [F(-2)]

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

[In]

integrate(x^3*(B*x^2+A)/(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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(170\)

Maxima [F(-2)]

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

[In]

integrate(x*(B*x^2+A)/(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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(171\)

Maxima [F(-2)]

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

[In]

integrate((B*x^2+A)/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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(172\)

Maxima [F(-2)]

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

[In]

integrate((B*x^2+A)/x^3/(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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(173\)

Maxima [F(-2)]

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

[In]

integrate((B*x^2+A)/x^5/(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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(174\)

Maxima [F(-2)]

Exception generated. \[ \int \frac {A+B x^2}{x^7 \sqrt {a+b x^2+c x^4}} \, dx=\text {Exception raised: ValueError} \]

[In]

integrate((B*x^2+A)/x^7/(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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(175\)

Maxima [F(-2)]

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

[In]

integrate(x^8/(e*x^2+d)/(c*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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(237\)

Maxima [F(-2)]

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

[In]

integrate(x^6/(e*x^2+d)/(c*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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(238\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(239\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(240\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(241\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(242\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(243\)

Maxima [F(-2)]

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

[In]

integrate(x^8/(e*x^2+d)/(c*x^4+a)^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/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(252\)

Maxima [F(-2)]

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

[In]

integrate(x^6/(e*x^2+d)/(c*x^4+a)^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/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(253\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(254\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(255\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(256\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(257\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(258\)

Maxima [F(-2)]

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

[In]

integrate(x^6*(c*x^4+b*x^2+a)/(e*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(280\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(281\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(282\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(283\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(284\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(285\)

Maxima [F(-2)]

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

[In]

integrate((c*x^4+b*x^2+a)/x^6/(e*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(286\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(287\)

Maxima [F(-2)]

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

[In]

integrate(x^6*(c*x^4+b*x^2+a)/(e*x^2+d)^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/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(288\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(289\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(290\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(291\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(292\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(293\)

Maxima [F(-2)]

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

[In]

integrate((c*x^4+b*x^2+a)/x^6/(e*x^2+d)^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/1.2_Trinomial_products/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(294\)

Maxima [F(-2)]

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

[In]

integrate(x^9/(e*x^2+d)/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.4-f_x-^m-d+e_x^2-^q-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(41\)

Integral number in ﬁle \(295\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(296\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(297\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(298\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(299\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(300\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(301\)

Maxima [F(-2)]

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

[In]

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

Test ﬁle number \(41\)

Integral number in ﬁle \(302\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(303\)

Maxima [F(-2)]

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

[In]

integrate(x^6/(e*x^2+d)/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(304\)

Maxima [F(-2)]

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

[In]

integrate(x^4/(e*x^2+d)/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(305\)

Maxima [F(-2)]

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

[In]

integrate(x^2/(e*x^2+d)/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(306\)

Maxima [F(-2)]

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

[In]

integrate(1/(e*x^2+d)/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(307\)

Maxima [F(-2)]

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

[In]

integrate(1/x^2/(e*x^2+d)/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(308\)

Maxima [F(-2)]

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

[In]

integrate(1/x^4/(e*x^2+d)/(c*x^4+b*x^2+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(e>0)', see `assume?` for more

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(309\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(311\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(312\)

Maxima [F(-2)]

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

[In]

integrate(x*(c*x^4+b*x^2+a)^(1/2)/(e*x^2+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(a*e^2-b*d*e>0)', see `assume?`

for more de

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

Test ﬁle number \(41\)

Integral number in ﬁle \(313\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(322\)

Maxima [F(-2)]

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

[In]

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

details)Is e

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

Test ﬁle number \(41\)

Integral number in ﬁle \(323\)

Maxima [F(-2)]

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

[In]

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

for more de

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

Test ﬁle number \(41\)

Integral number in ﬁle \(324\)

Maxima [F(-2)]

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

[In]

integrate(x^7*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(47\)

Maxima [F(-2)]

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

[In]

integrate(x^5*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(48\)

Maxima [F(-2)]

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

[In]

integrate(x^3*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(49\)

Maxima [F(-2)]

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

[In]

integrate(x*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(50\)

Maxima [F(-2)]

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

[In]

integrate((f*x^4+e*x^2+d)/x/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(51\)

Maxima [F(-2)]

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

[In]

integrate((f*x^4+e*x^2+d)/x^3/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(52\)

Maxima [F(-2)]

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

[In]

integrate((f*x^4+e*x^2+d)/x^5/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(53\)

Maxima [F(-2)]

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

[In]

integrate((f*x^4+e*x^2+d)/x^7/(c*x^4+b*x^2+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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(54\)

Maxima [F(-2)]

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

[In]

integrate(x^7*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(61\)

Maxima [F(-2)]

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

[In]

integrate(x^5*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(62\)

Maxima [F(-2)]

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

[In]

integrate(x^3*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(63\)

Maxima [F(-2)]

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

[In]

integrate(x*(f*x^4+e*x^2+d)/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(64\)

Maxima [F(-2)]

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

[In]

integrate((f*x^4+e*x^2+d)/x/(c*x^4+b*x^2+a)^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/1.2.2_Quartic/1.2.2.6_P-x-d_x-^m-a+b_x^2+c_x^4-^p.txt

Test ﬁle number \(43\)

Integral number in ﬁle \(65\)

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