3' a) Use Simpson's rule, with n = 8, to approximate J9" sint dt. Compute the error if the true value 0 is %(e"' +1) . Carry at least 7 digits in all of your calculations. b) Consider the region bounded by f (x) = i2, x =1, x = 2, and the x-axis. Find the volume of the solid when x the region is rotated about the line y = 1. Approximate the integral using the trapezoidal rule with n = 7. Sketch the region of interest