3.120 \(\int \text{PolyLog}(n,a x^q) \, dx\)

Optimal. Leaf size=9 \[ \text{Unintegrable}\left (\text{PolyLog}\left (n,a x^q\right ),x\right ) \]

[Out]

Unintegrable[PolyLog[n, a*x^q], x]

________________________________________________________________________________________

Rubi [A]  time = 0.0025715, 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 = {} \[ \int \text{PolyLog}\left (n,a x^q\right ) \, dx \]

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*}

Mathematica [A]  time = 0.0037649, size = 0, normalized size = 0. \[ \int \text{PolyLog}\left (n,a x^q\right ) \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[PolyLog[n, a*x^q],x]

[Out]

Integrate[PolyLog[n, a*x^q], x]

________________________________________________________________________________________

Maple [A]  time = 0.049, size = 0, normalized size = 0. \begin{align*} \int{\it polylog} \left ( n,a{x}^{q} \right ) \, dx \end{align*}

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)

________________________________________________________________________________________

Maxima [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int{\rm Li}_{n}(a x^{q})\,{d x} \end{align*}

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)

________________________________________________________________________________________

Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left ({\rm polylog}\left (n, a x^{q}\right ), x\right ) \end{align*}

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)

________________________________________________________________________________________

Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \operatorname{Li}_{n}\left (a x^{q}\right )\, dx \end{align*}

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)

________________________________________________________________________________________

Giac [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int{\rm Li}_{n}(a x^{q})\,{d x} \end{align*}

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)