. Evaluate the following integral: π/2 (8+4cosx)dx (a) analytically, (b) single application of the trapezoidal rule, (c) composite trapezoidal rule with n = 2 and 4, (d) single application of Simpson's 1/3 rule, (e) composite Simpson's 1/3 rule with n = 4, (f) Simpson's 3/8 rule, and (g) composite Simpson's rule (1/3 rule first and then 3/8 rule), with n = 5. For each of the numerical estimates (b) through (g), determine the true percent relative error based on (a).