Optimal. Leaf size=26 \[ \text{Unintegrable}\left ((f+g x)^m \left (a+b \log \left (c (d+e x)^n\right )\right )^n,x\right ) \]
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Rubi [A] time = 0.0262465, 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 = {} \[ \int (f+g x)^m \left (a+b \log \left (c (d+e x)^n\right )\right )^n \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int (f+g x)^m \left (a+b \log \left (c (d+e x)^n\right )\right )^n \, dx &=\int (f+g x)^m \left (a+b \log \left (c (d+e x)^n\right )\right )^n \, dx\\ \end{align*}
Mathematica [A] time = 0.458377, size = 0, normalized size = 0. \[ \int (f+g x)^m \left (a+b \log \left (c (d+e x)^n\right )\right )^n \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.803, size = 0, normalized size = 0. \begin{align*} \int \left ( gx+f \right ) ^{m} \left ( a+b\ln \left ( c \left ( ex+d \right ) ^{n} \right ) \right ) ^{n}\, 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: RuntimeError} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: UnboundLocalError} \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 [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: RuntimeError} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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