\[ \int \frac {1-x^2+x^3}{\left (-1-x^2+x^3\right ) \sqrt [3]{x^2+x^3}} \, dx \]
Optimal antiderivative \[ \mathit {Unintegrable} \]
command
int((x^3-x^2+1)/(x^3-x^2-1)/(x^3+x^2)^(1/3),x)
Maple 2022.1 output
\[\int \frac {x^{3}-x^{2}+1}{\left (x^{3}-x^{2}-1\right ) \left (x^{3}+x^{2}\right )^{\frac {1}{3}}}\, dx\]
Maple 2021.1 output
| method | result | size |
| trager | \(\text {Expression too large to display}\) | \(253926\) |