8.14 Problem number 114

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

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

command

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

Giac 1.9.0-11 via sagemath 9.6 output

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

Giac 1.7.0 via sagemath 9.3 output

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