\[ \int \frac {x^3}{\sqrt [3]{-b x^2+a x^3} \left (-b^2+a^2 x^6\right )} \, dx \]
Optimal antiderivative \[ \mathit {Unintegrable} \]
command
integrate(x^3/(a*x^3-b*x^2)^(1/3)/(a^2*x^6-b^2),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 \[ \text {Timed out} \]