\[ \int \frac {\sec ^2(c+d x)}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]
Optimal antiderivative \[ \mathit {Unintegrable} \left (\frac {\sec ^{2}\left (d x +c \right )}{\left (a +b \left (\sin ^{3}\left (d x +c \right )\right )\right )^{2}}, x\right ) \]
command
integrate(sec(d*x+c)^2/(a+b*sin(d*x+c)^3)^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 \[ \text {Timed out} \]