average mean value theorem integrals
The Mean Value Theorem for Integrals states that there must be a point â¬ x in the interval [â¬ a, â¬ b] where the exact function value actually equals the average function value. That is, there is a solution to the equation f(x)= 1 b âa f(x) dx a b â«. We can find the point â¬ x several ways: (i) Find the average value â¬ c âby handâ and then solve f(x) = â¬