Question

What is `int tan(2x-3)*cot(3x)`?

Answer 1

This is not an integral to evaluate here. It will take up way too much time and space.

Explanation:

Wolfram Alpha gives

`1/(12cos(6)-6)sec(3)(6xcos(9)-2sin(9)ln(sinx)+4sin(3)ln(sinx)+3sin(9)ln(cos(3-2x))-2sin(9)ln(2cos(2x)+1)-2sin3ln(2cos(2x)+1)+4sqrt3tanh^-1(tanx/sqrt3)+6tanh^-1(sin(3x)sec(x)))+C`

Good luck.