\[ \int \frac {1}{\sqrt {-3+x} \sqrt {-2+x} \sqrt {-1+x}} \, dx \]
Optimal antiderivative \[ -2 \EllipticF \left (\frac {1}{\sqrt {-1+x}}, \sqrt {2}\right ) \]
command
integrate(1/(-3+x)^(1/2)/(-2+x)^(1/2)/(-1+x)^(1/2),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ 2 \, {\rm weierstrassPInverse}\left (4, 0, x - 2\right ) \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (\frac {\sqrt {x - 1} \sqrt {x - 2} \sqrt {x - 3}}{x^{3} - 6 \, x^{2} + 11 \, x - 6}, x\right ) \]