Optimal. Leaf size=25 \[ \text{Unintegrable}\left (\frac{1}{x^2 (d+e x) \left (a+b \log \left (c x^n\right )\right )},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.0890865, 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 = {} \[ \int \frac{1}{x^2 (d+e x) \left (a+b \log \left (c x^n\right )\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{1}{x^2 (d+e x) \left (a+b \log \left (c x^n\right )\right )} \, dx &=\int \frac{1}{x^2 (d+e x) \left (a+b \log \left (c x^n\right )\right )} \, dx\\ \end{align*}
Mathematica [A] time = 0.614304, size = 0, normalized size = 0. \[ \int \frac{1}{x^2 (d+e x) \left (a+b \log \left (c x^n\right )\right )} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.516, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{{x}^{2} \left ( ex+d \right ) \left ( a+b\ln \left ( c{x}^{n} \right ) \right ) }}\, 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{1}{{\left (e x + d\right )}{\left (b \log \left (c x^{n}\right ) + a\right )} x^{2}}\,{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{1}{a e x^{3} + a d x^{2} +{\left (b e x^{3} + b d x^{2}\right )} \log \left (c x^{n}\right )}, 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{1}{x^{2} \left (a + b \log{\left (c x^{n} \right )}\right ) \left (d + e x\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{1}{{\left (e x + d\right )}{\left (b \log \left (c x^{n}\right ) + a\right )} x^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]