Optimal. Leaf size=12 \[ \text {Int}\left (\frac {\text {Li}_n(a x)}{x^2},x\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\text {PolyLog}(n,a x)}{x^2} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin {align*} \int \frac {\text {Li}_n(a x)}{x^2} \, dx &=\int \frac {\text {Li}_n(a x)}{x^2} \, dx\\ \end {align*}
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Mathematica [A] time = 0.02, size = 0, normalized size = 0.00 \[ \int \frac {\text {Li}_n(a x)}{x^2} \, dx \]
Verification is Not applicable to the result.
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fricas [A] time = 0.74, size = 0, normalized size = 0.00 \[ {\rm integral}\left (\frac {{\rm polylog}\left (n, a x\right )}{x^{2}}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {{\rm Li}_{n}(a x)}{x^{2}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 0, normalized size = 0.00 \[ \int \frac {\polylog \left (n , a x \right )}{x^{2}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {{\rm Li}_{n}(a x)}{x^{2}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [A] time = 0.00, size = -1, normalized size = -0.08 \[ \int \frac {\mathrm {polylog}\left (n,a\,x\right )}{x^2} \,d x \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.00, size = 0, normalized size = 0.00 \[ \int \frac {\operatorname {Li}_{n}\left (a x\right )}{x^{2}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
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