Optimal. Leaf size=26 \[ \text{Unintegrable}\left (\frac{F^{c+d x}}{x^2 \left (a+b F^{c+d x}\right )},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.068707, 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 = {} \[ \int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x^2} \, dx &=\int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x^2} \, dx\\ \end{align*}
Mathematica [A] time = 0.0652609, size = 0, normalized size = 0. \[ \int \frac{F^{c+d x}}{\left (a+b F^{c+d x}\right ) x^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
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}^{2}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} -a \int \frac{1}{F^{d x} F^{c} b^{2} x^{2} + a b x^{2}}\,{d x} - \frac{1}{b x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
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^{2} + a x^{2}}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{F^{c + d x}}{x^{2} \left (F^{c} F^{d x} b + a\right )}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
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^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]