\[ \int \frac {1}{\left (\frac {b}{x^2}\right )^{2/3}} \, dx \]
Optimal antiderivative \[ \frac {3 x}{7 \left (\frac {b}{x^{2}}\right )^{\frac {2}{3}}} \]
command
integrate(1/(b/x^2)^(2/3),x, algorithm="giac")
Giac 1.9.0-11 via sagemath 9.6 output
\[ \frac {3 \, x}{7 \, \left (\frac {b}{x^{2}}\right )^{\frac {2}{3}}} \]
Giac 1.7.0 via sagemath 9.3 output
\[ \int \frac {1}{\left (\frac {b}{x^{2}}\right )^{\frac {2}{3}}}\,{d x} \]________________________________________________________________________________________