2.

Let f(x) = 4x + 6, X1 = 1, X2 = 2, X3 = 3, X4 = 4, and Ax = 1. (a) Find _ (X; ) Ax. i=1 (b) The sum in part (a) approximates a definite integral using rectangles. The height of each rectangle is given by the value of the function at the left endpoint. Write the definite integral that the sum approximates. (a) _ ( x ) Ax = [ 1=1 (Simplify your answer.) (b) Find the definite integral that is approximated by the sum in part a. E f ( x; ) AXE 1=1