113.8 Problem number 1087

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

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

integrate(1/(a*x^3-b*x^2)^(1/3)/(a*x^4+b),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 \[ \text {Timed out} \]