Optimal. Leaf size=13 \[ \text{Unintegrable}\left (\frac{\text{PolyLog}\left (n,a x^q\right )}{x^2},x\right ) \]
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Rubi [A] time = 0.0093166, 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 = {} \[ \int \frac{\text{PolyLog}\left (n,a x^q\right )}{x^2} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\text{Li}_n\left (a x^q\right )}{x^2} \, dx &=\int \frac{\text{Li}_n\left (a x^q\right )}{x^2} \, dx\\ \end{align*}
Mathematica [A] time = 0.0214191, size = 0, normalized size = 0. \[ \int \frac{\text{PolyLog}\left (n,a x^q\right )}{x^2} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.046, size = 0, normalized size = 0. \begin{align*} \int{\frac{{\it polylog} \left ( n,a{x}^{q} \right ) }{{x}^{2}}}\, 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*} \int \frac{{\rm Li}_{n}(a x^{q})}{x^{2}}\,{d x} \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{{\rm polylog}\left (n, a x^{q}\right )}{x^{2}}, 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{\operatorname{Li}_{n}\left (a x^{q}\right )}{x^{2}}\, 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{{\rm Li}_{n}(a x^{q})}{x^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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