8.12 Problem number 108

\[ \int \sqrt [3]{\frac {b}{x^4}} \, dx \]

Optimal antiderivative \[ -3 \left (\frac {b}{x^{4}}\right )^{\frac {1}{3}} x \]

command

integrate((b/x^4)^(1/3),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ -3 \, x \left (\frac {b}{x^{4}}\right )^{\frac {1}{3}} \]

Giac 1.7.0 via sagemath 9.3 output

\[ \int \left (\frac {b}{x^{4}}\right )^{\frac {1}{3}}\,{d x} \]________________________________________________________________________________________