 In this video, we provide the solution to question number three for practice exam number one for math 1220, in which case we have to compute the average value of the function f of x equals x squared on the interval one to three. This is a fairly straightforward calculation where we apply the formula for average value. We're going to take one over b minus a in this situation b and a are given as three and one. We will integrate on that same interval from a to b there, and then we have the function x squared DX. So we simplify and compute the one over three minus one becomes a one half. When you calculate an anti derivative of x squared, we're going to get x cubed over three. We evaluate it from one to three like so. One half times the one third gives us a one sixth. We then are going to take the cube of three, which is 27, and we subtract from that the cube of one, which is likewise one. 27 minus one is 26 over six, 26 and six are both even numbers so we could simplify that to be 13 over three. And then we see that the correct answer is in fact f.