8.15 Problem number 115

\[ \int \left (\frac {b}{x^4}\right )^{2/3} \, dx \]

Optimal antiderivative \[ -\frac {3 \left (\frac {b}{x^{4}}\right )^{\frac {2}{3}} x}{5} \]

command

integrate((b/x^4)^(2/3),x, algorithm="giac")

Giac 1.9.0-11 via sagemath 9.6 output

\[ -\frac {3}{5} \, x \left (\frac {b}{x^{4}}\right )^{\frac {2}{3}} \]

Giac 1.7.0 via sagemath 9.3 output

\[ \int \left (\frac {b}{x^{4}}\right )^{\frac {2}{3}}\,{d x} \]________________________________________________________________________________________