2.4 Problem number 568

\[ \int \frac {\left (-2+x^3\right ) \sqrt {1-x^2+x^3}}{\left (1+x^3\right )^2} \, dx \]

Optimal antiderivative \[ -\frac {x \sqrt {x^{3}-x^{2}+1}}{x^{3}+1}-\arctan \left (\frac {x}{\sqrt {x^{3}-x^{2}+1}}\right ) \]

command

Int[((-2 + x^3)*Sqrt[1 - x^2 + x^3])/(1 + x^3)^2,x]

Rubi 4.17.3 under Mathematica 13.3.1 output

\[ \text {output too large to display} \]

Rubi 4.16.1 under Mathematica 13.3.1 output \[ \text {\$Aborted} \]__________________________________________