Consider the following. time left. (x2 - 2x ) dx 1:49: 14 (a) Find an approximation to the integral using a Riemann sum with right endpoints and n = 8. (b) Draw a diagram to illustrate the approximation in part (a). O Do-3/ (c) Consider the following theorem. If f is integrable on [a, b]. then ((x) dx - um_ > ((x,) Ax. where Ax - D - 2 an n and x , " a + /Ax . Use this to evaluate the integral. (d) Interpret the integral in part (c) as a difference of areas. The integral represents the area above the x-axis minus the area below the x-axis. The integral represents the area below the x-axis minus the area above the x-axis. Illustrate with a diagram. 10 DO-sl 0-3 2. Prove the statement using the &, 6 definition of a limit. lim (x2 - 4x + 8) = 4 x- 2 Given & > 0, we need 8 ---Select--. . such that if 0 |x2 - 4x + 4| |(x - 2)21