1. The problem statement, all variables and given/known data Suppose f is continuos on [a,b]. Show that there exists c in (a,b) such that the integral from a to b of f(x)dx equals (b-a)*f(c) 2. Relevant equations 3. The attempt at a solution Tried using the mean value theorem to come up with a solution by rearranging different variables, but they don't relate cause it's f(c) not f '(c).