2.23 Problem number 2357

\[ \int \frac {1}{\sqrt [4]{-1+3 x-3 x^2+x^3} \left (-1-2 x+x^2+3 x^3\right )^4} \, dx \]

Optimal antiderivative \[ \operatorname {Unintegrable} \]

command

Int[1/((-1 + 3*x - 3*x^2 + x^3)^(1/4)*(-1 - 2*x + x^2 + 3*x^3)^4),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 \[ \int \frac {1}{\sqrt [4]{-1+3 x-3 x^2+x^3} \left (-1-2 x+x^2+3 x^3\right )^4} \, dx \]__________________________________________