113.20 Problem number 1457

\[ \int \frac {x}{x+\sqrt {x+\sqrt {1+x^2}}} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \]

command

integrate(x/(x+(x+(x^2+1)^(1/2))^(1/2)),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 \[ \text {Timed out} \]