Optimal. Leaf size=18 \[ \text{Unintegrable}\left ((e x)^m \sinh ^p\left (a+b x^2\right ),x\right ) \]
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Rubi [A] time = 0.0196521, 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 = {} \[ \int (e x)^m \sinh ^p\left (a+b x^2\right ) \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int (e x)^m \sinh ^p\left (a+b x^2\right ) \, dx &=\int (e x)^m \sinh ^p\left (a+b x^2\right ) \, dx\\ \end{align*}
Mathematica [A] time = 2.3787, size = 0, normalized size = 0. \[ \int (e x)^m \sinh ^p\left (a+b x^2\right ) \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.039, size = 0, normalized size = 0. \begin{align*} \int \left ( ex \right ) ^{m} \left ( \sinh \left ( b{x}^{2}+a \right ) \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 (e x\right )^{m} \sinh \left (b x^{2} + a\right )^{p}\,{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 (e x\right )^{m} \sinh \left (b x^{2} + a\right )^{p}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \left (e x\right )^{m} \sinh ^{p}{\left (a + b x^{2} \right )}\, dx \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 (e x\right )^{m} \sinh \left (b x^{2} + a\right )^{p}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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