The problem gives me a list of values for f(x) and f′(x). I tried solving the problem using integration by parts, allowing u=sin(2x),u′=2cos(2x),v′=f′(cos(2x)), and v=f(cos(2x)). I use parts again and come up with v′=f(cos(2x)) and I think this is where I'm stuck because I'm not sure how to integrate that.. Can I just turn it into v=cos(2x)?? Am I even taking the correct approach using parts?