Optimal. Leaf size=26 \[ \text{Unintegrable}\left (\frac{\log ^3\left (c \left (d+e x^2\right )^p\right )}{f+g x^2},x\right ) \]
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Rubi [A] time = 0.0266382, 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 = {} \[ \int \frac{\log ^3\left (c \left (d+e x^2\right )^p\right )}{f+g x^2} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\log ^3\left (c \left (d+e x^2\right )^p\right )}{f+g x^2} \, dx &=\int \frac{\log ^3\left (c \left (d+e x^2\right )^p\right )}{f+g x^2} \, dx\\ \end{align*}
Mathematica [A] time = 3.98084, size = 0, normalized size = 0. \[ \int \frac{\log ^3\left (c \left (d+e x^2\right )^p\right )}{f+g x^2} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 3.108, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ( \ln \left ( c \left ( e{x}^{2}+d \right ) ^{p} \right ) \right ) ^{3}}{g{x}^{2}+f}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: ValueError} \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{\log \left ({\left (e x^{2} + d\right )}^{p} c\right )^{3}}{g x^{2} + f}, 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 \frac{\log{\left (c \left (d + e x^{2}\right )^{p} \right )}^{3}}{f + g x^{2}}\, 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 \frac{\log \left ({\left (e x^{2} + d\right )}^{p} c\right )^{3}}{g x^{2} + f}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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