\[ \int \frac {1}{\sqrt {-3-x} \sqrt {-1-x} \sqrt {-2+x}} \, dx \]
Optimal antiderivative \[ -\frac {2 \EllipticF \left (\frac {5}{\sqrt {15+5 x}}, \frac {\sqrt {10}}{5}\right ) \sqrt {1+x}\, \sqrt {3+x}\, \sqrt {5}}{5 \sqrt {-3-x}\, \sqrt {-1-x}} \]
command
integrate(1/(-3-x)^(1/2)/(-1-x)^(1/2)/(-2+x)^(1/2),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ 2 \, {\rm weierstrassPInverse}\left (\frac {76}{3}, \frac {224}{27}, x + \frac {2}{3}\right ) \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (\frac {\sqrt {x - 2} \sqrt {-x - 1} \sqrt {-x - 3}}{x^{3} + 2 \, x^{2} - 5 \, x - 6}, x\right ) \]