Consider the integral I= | 1914, d.o. + x2 0 This integral can be evaluated both numerically and analytically. Thus the objective is to verify the numerical result against one obtained in closed-form analytically. This integral has the exact answer I= ln(2). To that end, answer the following questions: (a) Evaluate the preceding integral numerically by using the composite Simpson's rule for number of subintervals n = 4 and 8. Estimate the error in each case. Compare your answers with the exact result.