Evaluate the following integral:(a) analytically, (b) single application of the trapezoida...

Evaluate the following integral:

(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, and (f) Simpson's 3/8 rule. For each of the numerical estimates (b) through (f), determine the per­cent relative error based on (a).