45.29 Problem number 392

\[ \int \frac {\sec ^4(c+d x)}{a+b \sin ^3(c+d x)} \, dx \]

Optimal antiderivative \[ \text {Expression too large to display} \]

command

integrate(sec(d*x+c)^4/(a+b*sin(d*x+c)^3),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 \[ \text {Timed out} \]