Question

∫sin^5(x)/cos^4(x) dx

I'm attaching a screenshot of my work. I think I'm headed down the right path, but I'm stuck. Help appreciated.

Answer 1

simply try cosx=t
You should get something like (1-t^2)^2 dt /t^4
Just break the terms .
This should help.

Answer 2

Refer to a step by step solution from WolframAlpha via Mathematica 9.

Answer 3

Thanks, both. I'll look now. (Just back from lunch).

Answer 4

Well, I got there eventually, but I won't say it wasn't painful. :) Thanks!