Evaluate the integral:2032x2+4dx more information in attached picture

2 24 (a) Evaluate the integral: dx 202 + 4 Your answer should be in the form ku, where k is an integer. What is the value of k? Hint: - d 1 - arctan(x) = dac 2 2 + 1 K = 3 Preview (b) Now, let's evaluate the same integral using a power series. First, find the power series for the function f (ac) = 24 202 + 4 . Then, integrate it from 0 to 2, and call the result S. S should be an infinite series. What are the first few terms of S? ao = 12 Preview a1 = -4 Preview = 12/5 Preview a3 = -12/7 Preview a4 = 12/9 Preview (c) The answers to part (a) and (b) are equal (why?). Hence, if you divide your infinite series from (b) by k (the answer to (a)), you have found an estimate for the value of 7 in terms of an infinite series. Approximate the value of 7 by the first 5 terms. 1.6698 Preview (d) What is the upper bound for your error of your estimate if you use the first 7 terms? (Use the alternating series estimation.) 2/15 Preview