8.13 Problem number 113

\[ \int \left (\frac {b}{x^2}\right )^{2/3} \, dx \]

Optimal antiderivative \[ -3 \left (\frac {b}{x^{2}}\right )^{\frac {2}{3}} x \]

command

integrate((b/x^2)^(2/3),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ -3 \, x \left (\frac {b}{x^{2}}\right )^{\frac {2}{3}} \]

Giac 1.7.0 via sagemath 9.3 output

\[ \int \left (\frac {b}{x^{2}}\right )^{\frac {2}{3}}\,{d x} \]________________________________________________________________________________________