Verified answer

Let u = cot x. So du = -csc²x dx, and the integral becomes

∫ e^u (-du)

= - e^u + C

= - e^(cot x) + C.

I hope that helps!

=-e^(cotx) + costant

http://www.wolframalpha.com/input/?i=%C3%A2%C2%88%...