Chapter 9.4, Problem 54E

Let f(x) = 3× + 3, x, = 2, x2 and Ax = 1 4 (a) Find f(x) Ax 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. 4 (a) Ef(x) Ax: i= 1 (Simplify your answer.) (b) Find the definite integral that is approximated by the sum in part a. 4 Ef(x) Ax = ] O dx j=1

Direction: Using Riemann's Sum, find the integral of the following functions: 1.) √²(2x² - 5x + 1) dx 2.) √(x³- 2x + 1) dx 3.) f 2x³ dx

(ii) Evaluate the definite integral r³e² dr.