\[ \int \frac {1}{\sqrt [3]{\frac {b}{x^3}}} \, dx \]
Optimal antiderivative \[ \frac {x}{2 \left (\frac {b}{x^{3}}\right )^{\frac {1}{3}}} \]
command
integrate(1/(b/x^3)^(1/3),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {x}{2 \, \left (\frac {b}{x^{3}}\right )^{\frac {1}{3}}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int \frac {1}{\left (\frac {b}{x^{3}}\right )^{\frac {1}{3}}}\,{d x} \]________________________________________________________________________________________