1. The problem statement, all variables and given/known data [itex]\int[/itex](cosx)^5sin(x)dx, the question asks me to simply find the integral. 2. Relevant equations cos^2(x) + sin^2(x) = 1 3. The attempt at a solution I have an odd power of cosine so I should split that up into [cos^2(x)]^2(sin(x)cos(x)), then I change cos^2(x) to 1-sin^2(x) and let u = sin(x) so I get (1-u^2)^2(u)du factor distribute and then integrate, but this isn't leading me to the correct answer.