\[ \int \frac {x+\sqrt {1+4 x+7 x^2+8 x^3+5 x^4+2 x^5}}{1-\sqrt {1+4 x+7 x^2+8 x^3+5 x^4+2 x^5}} \, dx \]
Optimal antiderivative \[ \mathit {Unintegrable} \]
command
integrate((x+(2*x^5+5*x^4+8*x^3+7*x^2+4*x+1)^(1/2))/(1-(2*x^5+5*x^4+8*x^3+7*x^2+4*x+1)^(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 \[ \text {Timed out} \]