Optimal. Leaf size=28 \[ \text{Unintegrable}\left (\frac{(c+d x)^m}{a+b \left (F^{e g+f g x}\right )^n},x\right ) \]
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Rubi [A] time = 0.122539, 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 = {} \[ \int \frac{(c+d x)^m}{a+b \left (F^{g (e+f x)}\right )^n} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{(c+d x)^m}{a+b \left (F^{g (e+f x)}\right )^n} \, dx &=\int \frac{(c+d x)^m}{a+b \left (F^{e g+f g x}\right )^n} \, dx\\ \end{align*}
Mathematica [A] time = 0.102741, size = 0, normalized size = 0. \[ \int \frac{(c+d x)^m}{a+b \left (F^{g (e+f x)}\right )^n} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.071, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ( dx+c \right ) ^{m}}{a+b \left ({F}^{g \left ( fx+e \right ) } \right ) ^{n}}}\, 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 (d x + c\right )}^{m}}{{\left (F^{{\left (f x + e\right )} g}\right )}^{n} b + a}\,{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 (d x + c\right )}^{m}}{{\left (F^{f g x + e g}\right )}^{n} b + a}, 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 (d x + c\right )}^{m}}{{\left (F^{{\left (f x + e\right )} g}\right )}^{n} b + a}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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