Homework Statement
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]Homework Equations
All i know is the mean value theorem for integrals is f(c) = fave = 1/(b-a) integral(f(x),x,b,a)
The Attempt...