Optimal. Leaf size=26 \[ \text{Unintegrable}\left (\frac{F^{c+d x}}{x \left (a+b F^{c+d x}\right )},x\right ) \]
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Rubi [A] time = 0.0699827, 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 = {} \[ \int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x} \, dx &=\int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x} \, dx\\ \end{align*}
Mathematica [A] time = 0.0847248, size = 0, normalized size = 0. \[ \int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.05, size = 0, normalized size = 0. \begin{align*} \int{\frac{{F}^{dx+c}}{ \left ( a+b{F}^{dx+c} \right ) x}}\, 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*} -a \int \frac{1}{F^{d x} F^{c} b^{2} x + a b x}\,{d x} + \frac{\log \left (x\right )}{b} \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^{d x + c}}{F^{d x + c} b x + a x}, 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{F^{c + d x}}{x \left (F^{c} F^{d x} b + a\right )}\, 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{F^{d x + c}}{{\left (F^{d x + c} b + a\right )} x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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