16 dr 12 +4 (a) Evaluate the integral: Your answer should be in the form kn, where k is an integer. What is the value of k? 1 Hint: dr arctan(z) 22 +1 (b) Now, let's evaluate the same integral using a power series. First, find the power series for the function 16 f(z) = Then, integrate it from 0 to 2, and call the result S. S should be an infinite series. 2 + 4 What are the first few terms of S? 8. a = 3 32 a2 20 128 az 112 512 576 ||

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