\[ \int \frac {x^2-c x^2 \left (\frac {b+a x}{d+c x}\right )^{3/2}}{a-b \sqrt {\frac {b+a x}{d+c x}}} \, dx \]
Optimal antiderivative \[ \text {Expression too large to display} \]
command
integrate((x^2-c*x^2*((a*x+b)/(c*x+d))^(3/2))/(a-b*((a*x+b)/(c*x+d))^(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 \[ \text {Timed out} \]