The height of each function is given by the function at the left endpoint. Write the decimate integral that the sim approximates.

Let f(x) = 4x + 8, X1 = 2, X2 = 3, X3 =4, XA = 5, and Ax = 1. 4 (a) Find _ f (x; ) Ax. i = 1 (b) The sum in part (a) approximates a definite integral using rectangles. The height of each 4 (a) _f (x;) Ax = 88 i = 1 (Simplify your answer.) (b) Find the definite integral that is approximated by the sum in part a. 4 Z f ( x; ) AX ~ (4x + 8) dx i = 1 0