1. The problem statement, all variables and given/known data Evaluate the integral. 2. Relevant equations [tex] \int sin^2(\pi x) cos^5 (\pi x) dx [/tex] 3. The attempt at a solution I tried first by splitting the cosine up [tex] \int sin^2(x) [1-cos^2(x)] cos^2(x) cos(x) dx [/tex] and from there use u-substitution. However, I am not sure what to substitute. Any ideas?