\[ \int \frac {\sqrt {1-2 x}}{\sqrt {-3-5 x} \sqrt {2+3 x}} \, dx \]
Optimal antiderivative \[ \frac {2 \EllipticE \left (\sqrt {5}\, \sqrt {2+3 x}, \frac {\sqrt {70}}{35}\right ) \sqrt {35}}{15} \]
command
integrate((1-2*x)^(1/2)/(-3-5*x)^(1/2)/(2+3*x)^(1/2),x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ \frac {68}{675} \, \sqrt {30} {\rm weierstrassPInverse}\left (\frac {1159}{675}, \frac {38998}{91125}, x + \frac {23}{90}\right ) + \frac {2}{15} \, \sqrt {30} {\rm weierstrassZeta}\left (\frac {1159}{675}, \frac {38998}{91125}, {\rm weierstrassPInverse}\left (\frac {1159}{675}, \frac {38998}{91125}, x + \frac {23}{90}\right )\right ) \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (-\frac {\sqrt {3 \, x + 2} \sqrt {-2 \, x + 1} \sqrt {-5 \, x - 3}}{15 \, x^{2} + 19 \, x + 6}, x\right ) \]