113.36 Problem number 2145

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

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

integrate((x^3+x-1)/(x^3-x+1)/(x^3-x^2)^(1/3),x, algorithm="fricas")

Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output

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

Fricas 1.3.7 via sagemath 9.3 output \[ \text {Timed out} \]