Optimal. Leaf size=22 \[ \text{Unintegrable}\left (\frac{(f x)^m}{\log ^2\left (c \left (d+e x^2\right )^p\right )},x\right ) \]
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Rubi [A] time = 0.017193, 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 = {} \[ \int \frac{(f x)^m}{\log ^2\left (c \left (d+e x^2\right )^p\right )} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{(f x)^m}{\log ^2\left (c \left (d+e x^2\right )^p\right )} \, dx &=\int \frac{(f x)^m}{\log ^2\left (c \left (d+e x^2\right )^p\right )} \, dx\\ \end{align*}
Mathematica [A] time = 0.529331, size = 0, normalized size = 0. \[ \int \frac{(f x)^m}{\log ^2\left (c \left (d+e x^2\right )^p\right )} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 5.842, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ( fx \right ) ^{m}}{ \left ( \ln \left ( c \left ( e{x}^{2}+d \right ) ^{p} \right ) \right ) ^{2}}}\, 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*} -\frac{{\left (e f^{m} x^{2} + d f^{m}\right )} x^{m}}{2 \,{\left (e p x \log \left ({\left (e x^{2} + d\right )}^{p}\right ) + e p x \log \left (c\right )\right )}} + \int \frac{{\left (e f^{m}{\left (m + 1\right )} x^{2} + d f^{m}{\left (m - 1\right )}\right )} x^{m}}{2 \,{\left (e p x^{2} \log \left ({\left (e x^{2} + d\right )}^{p}\right ) + e p x^{2} \log \left (c\right )\right )}}\,{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 (\frac{\left (f x\right )^{m}}{\log \left ({\left (e x^{2} + d\right )}^{p} c\right )^{2}}, 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 \frac{\left (f x\right )^{m}}{\log \left ({\left (e x^{2} + d\right )}^{p} c\right )^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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