113.76 Problem number 2903

\[ \int \frac {x^2 \sqrt [4]{b x^3+a x^4}}{-b+a x^4} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

integrate(x^2*(a*x^4+b*x^3)^(1/4)/(a*x^4-b),x, algorithm="fricas")

Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output

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

Fricas 1.3.7 via sagemath 9.3 output \[ \text {Timed out} \]