∫ e^x cot (e^x) dx = ?

Question

Mark (√) against the correct answer in each of the following:

∫ e^x cot (e^x) dx = ?

A. cot (e^x) + C

B. log |sin e^x| + C

C. log |cosec e^x| + C

D. None of these

Answer 1

Given = ∫ e^x cot (e^x) dx

Let, e^x = z

⇒ e^xdx = dz

So,

where c is the integrating constant.