I ran across this one the other day. See what you can make of it.

Question

Find the integral of

e^cosxsinx - (sinx+cosx)e^sinx+cosx
-----------------------------------------
e^sin2x-2e^sinx+1

Answer 1

Oops. That should have been

e^cosxsinx - (sinx+cosx)e^sinx+cosx
-----------------------------------------
e^2sinx-2e^sinx+1

Answer 2

How about you ask someone to explain it and not give you the answer