Optimal. Leaf size=34 \[ \text{Unintegrable}\left (\frac{(h+i x)^q (a+b \log (c (e+f x)))^p}{d e+d f x},x\right ) \]
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Rubi [A] time = 0.110533, 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 = {} \[ \int \frac{(h+i x)^q (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{(h+209 x)^q (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx &=\int \frac{(h+209 x)^q (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\\ \end{align*}
Mathematica [A] time = 0.602643, size = 0, normalized size = 0. \[ \int \frac{(h+i x)^q (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 1.629, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ( ix+h \right ) ^{q} \left ( a+b\ln \left ( c \left ( fx+e \right ) \right ) \right ) ^{p}}{dfx+de}}\, 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 \frac{{\left (i x + h\right )}^{q}{\left (b \log \left ({\left (f x + e\right )} c\right ) + a\right )}^{p}}{d f x + d e}\,{d x} \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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