41.8 Problem number 1951

\[ \int \frac {1}{\sqrt [4]{-x^2+x^4} \left (-1+x^8\right )} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

int(1/(x^4-x^2)^(1/4)/(x^8-1),x,method=_RETURNVERBOSE)

Maple 2022.1 output

method result size
risch \(\text {Expression too large to display}\) \(3569\)
trager \(\text {Expression too large to display}\) \(3684\)

Maple 2021.1 output

\[\int \frac {1}{\left (x^{4}-x^{2}\right )^{\frac {1}{4}} \left (x^{8}-1\right )}\, dx\]________________________________________________________________________________________