1. Evaluate the following integral: S2 (6 /2 (6+3 cos x) dx (a) analytically (b) single application of the trapezoidal rule (c) multiple application of the trapezoidal rule with n = 2 and n = 4 (d) single application of the Simpson's (1/3) rule (e) multiple application of the Simpson's (1/3) rule with n = 4 For each of these estimates, determine the percent relative error based on la.