4. (25 points) The purpose of this problem is to approximate the integral I = - 1 dar 1 + 2 in THREE different ways. (a)

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4 25 Points The Purpose Of This Problem Is To Approximate The Integral I 1 Dar 1 2 In Three Different Ways A 1 (19.32 KiB) Viewed 25 times

4. (25 points) The purpose of this problem is to approximate the integral I = - 1 dar 1 + 2 in THREE different ways. (a) Use the trapezoid rule with N = 4 to approximate the integral I. (b) Use Simpson's rule with N = 4 to approximate the integral I. (e) Using the fact that = 1+ 2+ ? + - 1<x<1. 1 1 - derive a power series for f(x) 1 +. (a) Use the first three terms of the series you found for part (a) to approximate the integral I.