Optimal. Leaf size=21 \[ \text{Unintegrable}\left (\left (a+b x^4\right )^p \left (c+e x^2\right )^q,x\right ) \]
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Rubi [A] time = 0.0080599, 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 = {} \[ \int \left (c+e x^2\right )^q \left (a+b x^4\right )^p \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \left (c+e x^2\right )^q \left (a+b x^4\right )^p \, dx &=\int \left (c+e x^2\right )^q \left (a+b x^4\right )^p \, dx\\ \end{align*}
Mathematica [A] time = 0.0762001, size = 0, normalized size = 0. \[ \int \left (c+e x^2\right )^q \left (a+b x^4\right )^p \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.102, size = 0, normalized size = 0. \begin{align*} \int \left ( e{x}^{2}+c \right ) ^{q} \left ( b{x}^{4}+a \right ) ^{p}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int{\left (b x^{4} + a\right )}^{p}{\left (e x^{2} + c\right )}^{q}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left ({\left (b x^{4} + a\right )}^{p}{\left (e x^{2} + c\right )}^{q}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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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.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int{\left (b x^{4} + a\right )}^{p}{\left (e x^{2} + c\right )}^{q}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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