45.34 Problem number 401

\[ \int \frac {1}{\left (a+b \sin ^3(c+d x)\right )^2} \, dx \]

Optimal antiderivative \[ \mathit {Unintegrable} \left (\frac {1}{\left (a +b \left (\sin ^{3}\left (d x +c \right )\right )\right )^{2}}, x\right ) \]

command

integrate(1/(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 \[ \text {Timed out} \]