Optimal. Leaf size=30 \[ \text{Unintegrable}\left (\frac{F^{f \left (a+b \log ^2\left (c (d+e x)^n\right )\right )}}{(g+h x)^3},x\right ) \]
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Rubi [A] time = 0.0834928, 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 = {} \[ \int \frac{F^{f \left (a+b \log ^2\left (c (d+e x)^n\right )\right )}}{(g+h x)^3} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{F^{f \left (a+b \log ^2\left (c (d+e x)^n\right )\right )}}{(g+h x)^3} \, dx &=\int \frac{F^{f \left (a+b \log ^2\left (c (d+e x)^n\right )\right )}}{(g+h x)^3} \, dx\\ \end{align*}
Mathematica [A] time = 3.30235, size = 0, normalized size = 0. \[ \int \frac{F^{f \left (a+b \log ^2\left (c (d+e x)^n\right )\right )}}{(g+h x)^3} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.657, size = 0, normalized size = 0. \begin{align*} \int{\frac{{F}^{f \left ( a+b \left ( \ln \left ( c \left ( ex+d \right ) ^{n} \right ) \right ) ^{2} \right ) }}{ \left ( hx+g \right ) ^{3}}}\, 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{F^{{\left (b \log \left ({\left (e x + d\right )}^{n} c\right )^{2} + a\right )} f}}{{\left (h x + g\right )}^{3}}\,{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{F^{b f \log \left ({\left (e x + d\right )}^{n} c\right )^{2} + a f}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, 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{F^{{\left (b \log \left ({\left (e x + d\right )}^{n} c\right )^{2} + a\right )} f}}{{\left (h x + g\right )}^{3}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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