8.11 Problem number 107

\[ \int \sqrt [3]{\frac {b}{x^3}} \, dx \]

Optimal antiderivative \[ \left (\frac {b}{x^{3}}\right )^{\frac {1}{3}} x \ln \left (x \right ) \]

command

integrate((b/x^3)^(1/3),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ +\infty \]

Giac 1.7.0 via sagemath 9.3 output

\[ \int \left (\frac {b}{x^{3}}\right )^{\frac {1}{3}}\,{d x} \]________________________________________________________________________________________