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