Optimal. Leaf size=26 \[ \text{Unintegrable}\left (\frac{\left (a+b x^4+c x^2\right )^p}{c+e x^2},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0109996, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int \frac{\left (a+c x^2+b x^4\right )^p}{c+e x^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{\left (a+c x^2+b x^4\right )^p}{c+e x^2} \, dx &=\int \frac{\left (a+c x^2+b x^4\right )^p}{c+e x^2} \, dx\\ \end{align*}
Mathematica [A] time = 0.130838, size = 0, normalized size = 0. \[ \int \frac{\left (a+c x^2+b x^4\right )^p}{c+e x^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.037, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ( b{x}^{4}+c{x}^{2}+a \right ) ^{p}}{e{x}^{2}+c}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\left (b x^{4} + c x^{2} + a\right )}^{p}}{e x^{2} + c}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{{\left (b x^{4} + c x^{2} + a\right )}^{p}}{e x^{2} + c}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\left (b x^{4} + c x^{2} + a\right )}^{p}}{e x^{2} + c}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]