\[ \int \frac {\sqrt [4]{-1+x^4} \left (1-x^4+x^8\right )}{x^6 \left (1+2 x^8\right )} \, dx \]
Optimal antiderivative \[ \mathit {Unintegrable} \]
command
int((x^4-1)^(1/4)*(x^8-x^4+1)/x^6/(2*x^8+1),x,method=_RETURNVERBOSE)
Maple 2022.1 output
| method | result | size |
| trager | \(\text {Expression too large to display}\) | \(2830\) |
| risch | \(\text {Expression too large to display}\) | \(5228\) |
Maple 2021.1 output
\[\int \frac {\left (x^{4}-1\right )^{\frac {1}{4}} \left (x^{8}-x^{4}+1\right )}{x^{6} \left (2 x^{8}+1\right )}\, dx\]________________________________________________________________________________________