PROBLEMS 21.1 Evaluate the following integral: 1" (76 Simpson's 1/3 rule, with n = 4; (f) single application of Simpson's 3/8 rule; and (g) multiple-application Simpson's rule, with n = 5. For each of the numerical estimates (b) through (g), determine the percent relative error based on (a). (6 + 3 cos x) dx (a) analytically; (b) single application of the trapezoidal rule; (c) multiple-application trapezoidal rule, with n = 2 and 4; (d) single application of Simpson's 1/3 rule; (e) multiple-application