4.2 Problem number 628

\[ \int \frac {1+x^6}{\sqrt [4]{-x^3+x^5} \left (1+x^3-x^6\right )} \, dx \]

Optimal antiderivative \[ \operatorname {Unintegrable} \]

command

Int[(1 + x^6)/((-x^3 + x^5)^(1/4)*(1 + x^3 - x^6)),x]

Rubi 4.17.3 under Mathematica 13.3.1 output

\[ \text {\$Aborted} \]

Rubi 4.16.1 under Mathematica 13.3.1 output

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