Optimal. Leaf size=17 \[ \text{Unintegrable}\left (\frac{f^{\frac{c}{(a+b x)^3}}}{x},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0179304, 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 = {} \[ \int \frac{f^{\frac{c}{(a+b x)^3}}}{x} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{f^{\frac{c}{(a+b x)^3}}}{x} \, dx &=\int \frac{f^{\frac{c}{(a+b x)^3}}}{x} \, dx\\ \end{align*}
Mathematica [A] time = 0.0611491, size = 0, normalized size = 0. \[ \int \frac{f^{\frac{c}{(a+b x)^3}}}{x} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.03, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{x}{f}^{{\frac{c}{ \left ( bx+a \right ) ^{3}}}}}\, 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*} \int \frac{f^{\frac{c}{{\left (b x + a\right )}^{3}}}}{x}\,{d 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^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{x}, 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^{\frac{c}{\left (a + b x\right )^{3}}}}{x}\, 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^{\frac{c}{{\left (b x + a\right )}^{3}}}}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]