3.120 \(\int \text {Li}_n(a x^q) \, dx\)

Optimal. Leaf size=10 \[ \text {Int}\left (\text {Li}_n\left (a x^q\right ),x\right ) \]

[Out]

Unintegrable(polylog(n,a*x^q),x)

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Rubi [A]  time = 0.00, 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 = {} \[ \int \text {PolyLog}\left (n,a x^q\right ) \, dx \]

Verification is Not applicable to the result.

[In]

Int[PolyLog[n, a*x^q],x]

[Out]

Defer[Int][PolyLog[n, a*x^q], x]

Rubi steps

\begin {align*} \int \text {Li}_n\left (a x^q\right ) \, dx &=\int \text {Li}_n\left (a x^q\right ) \, dx\\ \end {align*}

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Mathematica [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \text {Li}_n\left (a x^q\right ) \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[PolyLog[n, a*x^q],x]

[Out]

Integrate[PolyLog[n, a*x^q], x]

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fricas [A]  time = 1.06, size = 0, normalized size = 0.00 \[ {\rm integral}\left ({\rm polylog}\left (n, a x^{q}\right ), x\right ) \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(polylog(n,a*x^q),x, algorithm="fricas")

[Out]

integral(polylog(n, a*x^q), x)

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giac [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int {\rm Li}_{n}(a x^{q})\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(polylog(n,a*x^q),x, algorithm="giac")

[Out]

integrate(polylog(n, a*x^q), x)

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maple [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \polylog \left (n , a \,x^{q}\right )\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(polylog(n,a*x^q),x)

[Out]

int(polylog(n,a*x^q),x)

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maxima [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int {\rm Li}_{n}(a x^{q})\,{d x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(polylog(n,a*x^q),x, algorithm="maxima")

[Out]

integrate(polylog(n, a*x^q), x)

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mupad [A]  time = 0.00, size = -1, normalized size = -0.10 \[ \int \mathrm {polylog}\left (n,a\,x^q\right ) \,d x \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(polylog(n, a*x^q),x)

[Out]

int(polylog(n, a*x^q), x)

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sympy [A]  time = 0.00, size = 0, normalized size = 0.00 \[ \int \operatorname {Li}_{n}\left (a x^{q}\right )\, dx \]

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(polylog(n,a*x**q),x)

[Out]

Integral(polylog(n, a*x**q), x)

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