8.16 Problem number 117

\[ \int \frac {1}{\sqrt [3]{b x^4}} \, dx \]

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

command

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

Giac 1.9.0-11 via sagemath 9.6 output

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

Giac 1.7.0 via sagemath 9.3 output

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