14.2 Problem number 145

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

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

command

Integrate[(a + b*ArcCot[c + d*x])^3/(e + f*x)^2,x]

Mathematica 13.1 output

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

Mathematica 12.3 output

\[ \text {output too large to display} \]