41.6 Problem number 1671

\[ \int \frac {\left (-1+x^3\right )^{2/3} \left (4+x^6\right )}{x^6 \left (4+2 x^3+x^6\right )} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

int((x^3-1)^(2/3)*(x^6+4)/x^6/(x^6+2*x^3+4),x)

Maple 2022.1 output

\[\text {Expression too large to display}\]

Maple 2021.1 output

\[\int \frac {\left (x^{3}-1\right )^{\frac {2}{3}} \left (x^{6}+4\right )}{x^{6} \left (x^{6}+2 x^{3}+4\right )}\, dx\]________________________________________________________________________________________