Question: how to find the average value of y?
Answer: One of the main applications of definite integrals is to find the average value of a function y=f(x) over a specific interval [a,b]. In order to find this average value, one must integrate the function by using the Fundamental Theorem of Calculus and divide the answer by the length of the interval. ¯f=1b−ab∫af(x)dx.