Question

What is `int cot^2x dx`?

Answer 1

`intcot^2xdx=-cotx-x`

Explanation:

We know that `d/(dx)cotx=-csc^2x` and hence `intcsc^2xdx=-cotx`

Now using this we can solve the given problem as follows:

`intcot^2xdx`

= `int(csc^2x-1)dx`

= `-cotx-x`