Consider the following. (x-2x) 2x) dx (a) Find an approximation to the integral using a Riemann sum with right endpoints and n = 8. Ra (b) Draw a diagram to illustrate the approximation in part (a). 7 6F 5 4 2 5 7 3 -1- 2 2 -2 O-35 (c) Consider the following theorem. 9 8 7 6 5 4 2 y 8 7F 6 5 4 2 3 4 2 -2 0-31 lim f(x) Ax, where Ax = b-a and x, = a + iox. -1 n -2 0-31 If f is integrable on [a, b], then "L" x) dx = Use this to evaluate the integral. 2 2 512 9 3 4 5 y 9 8 7 6 5 4 3 2 -2 00-31 3 5 2 3 2 12 9 5 2