19.3 Problem number 1554

\[ \int \frac {\left (-2+x^2\right ) \sqrt [3]{x+x^3}}{x^2 \left (4-2 x^2+x^4\right )} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

int((x^2-2)*(x^3+x)^(1/3)/x^2/(x^4-2*x^2+4),x)

Maple 2022.1 output

\[\int \frac {\left (x^{2}-2\right ) \left (x^{3}+x \right )^{\frac {1}{3}}}{x^{2} \left (x^{4}-2 x^{2}+4\right )}\, dx\]

Maple 2021.1 output

method result size
trager \(\text {Expression too large to display}\) \(2048\)
risch \(\text {Expression too large to display}\) \(7003\)