[-/5 Points] DETAILS MY NOTES Use Simpson's Rule with n = 4 to estimate the arc length of the curve, L. Give your answer to six decimal places. y = sec (x) , OSIS col = L = [-/10 Points] DETAILS MY NOTES Let k be a fixed number with k > 1. (a) Write a definite integral for the arclength L of the graph of y = x k from x = 0 to x = b. Do not try to solve the integral. L = dx (b) One case when this integral can be evaluated exactly is when k = . In that case, use a substitution to evaluate the integral and find a formula for the arclength _ in terms of b. c) Another case when this integral can be evaluated exactly is when k = 2. In that case, use an inverse trig substitution to evaluate the integral and find a formula for the arclength L in terms of b. (d) Use Simpson's Rule with n = 6 subintervals to estimate the arc length _ of the curve when k = 3 and b = 1. Give your answer in decimal form with at least four decimal digits. L=