\[ \int \frac {1}{\sqrt {-2-x} \sqrt {-1-x} \sqrt {-3+x}} \, dx \]
Optimal antiderivative \[ -\frac {2 \EllipticF \left (\frac {5}{\sqrt {10+5 x}}, \frac {\sqrt {5}}{5}\right ) \sqrt {1+x}\, \sqrt {2+x}\, \sqrt {5}}{5 \sqrt {-2-x}\, \sqrt {-1-x}} \]
command
integrate(1/(-2-x)^(1/2)/(-1-x)^(1/2)/(-3+x)^(1/2),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ 2 \, {\rm weierstrassPInverse}\left (28, 24, x\right ) \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (\frac {\sqrt {x - 3} \sqrt {-x - 1} \sqrt {-x - 2}}{x^{3} - 7 \, x - 6}, x\right ) \]