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Question 2. Consider the integral∫-1^1cos((π x)/(2)) dx1) For each N in {2, 4, 8, 16, 32, 64, 128, 256} calculate the approximate value of the integral using S13and S38 using N segments to discretize the interval [-1,1] (so that the length of F is N 1), and plotthe error abs(approximate-exact value) as a function of N. From the plot, estimate the orderof the composite methods using the 1/3 and 3/8 methods. (10 points)2) Repeat the same exercise, but use {3, 9, 27, 81, 243, 729, 2187, 6561} for t
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