Recall that if f is a nonnegative continuous function on [a, b], then the area of the region under the graph of f is given by the following where X1, X2, ..., x,, are arbitrary points in the n subintervals of [a, b] of equal width AX = b - a n A = lim [f(x,) + f(x2) + ... + f(x )14x 1- 00 Here we are asked to find the area of the region R under the graph of the function f(x) = x2+ 9 on the interval [0, 2]. We are to use n = 5 subintervals and choose the representative points to be the midpoints of the subintervals. Therefore, we must calculate the following. A = 1( x 1 ) + 1( x 2 ) + 1 ( x 3 ) + 1( x 4 ) + 1( x 5 ) ] 4x The first step is to determine Ax using [a, b] = [0, 2] and n = 5. b - a AX = n 0 5 5 Submit Skip (you cannot come back)