1. The problem statement, all variables and given/known data If fave [a,b] denotes the average value of f on the interval [a,b] and a<c<b, show that fave[a,b] = (c-a)/(b-a) fave[a,c] + (b-c)(b-a) fave[c,b] 2. Relevant equations All i know is the mean value theorem for integrals is f(c) = fave = 1/(b-a) integral(f(x),x,b,a) 3. The attempt at a solution Tried using the theorem, but had no idea how to get to that point. Thanks!