Question

What is the Integral of `1/tan(x) dx`?

Answer 1

`lnabs(sinx) +C`

Explanation:

`1/tanx = cotx = cosx/sinx`

`int1/tanx dx= intcotx dx`

`= int cosx/sinx dx`

Let `u = sinx`, so `du = cosx dx` to get

`= int 1/u du`

`= ln absu +C`

`= ln abs sinx +C`