Optimal. Leaf size=29 \[ \text{Unintegrable}\left (\frac{\log ^q\left (c \left (d+e x^n\right )^p\right )}{x \left (f+g x^n\right )},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0861844, 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 = {} \[ \int \frac{\log ^q\left (c \left (d+e x^n\right )^p\right )}{x \left (f+g x^n\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{\log ^q\left (c \left (d+e x^n\right )^p\right )}{x \left (f+g x^n\right )} \, dx &=\int \frac{\log ^q\left (c \left (d+e x^n\right )^p\right )}{x \left (f+g x^n\right )} \, dx\\ \end{align*}
Mathematica [A] time = 1.75876, size = 0, normalized size = 0. \[ \int \frac{\log ^q\left (c \left (d+e x^n\right )^p\right )}{x \left (f+g x^n\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 19.992, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ( \ln \left ( c \left ( d+e{x}^{n} \right ) ^{p} \right ) \right ) ^{q}}{x \left ( f+g{x}^{n} \right ) }}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: RuntimeError} \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{\log \left ({\left (e x^{n} + d\right )}^{p} c\right )^{q}}{g x x^{n} + f 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{\log{\left (c \left (d + e x^{n}\right )^{p} \right )}^{q}}{x \left (f + g x^{n}\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{\log \left ({\left (e x^{n} + d\right )}^{p} c\right )^{q}}{{\left (g x^{n} + f\right )} x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]