Mathematics, 29.05.2020 04:58, bg988763p7cl2d

(a) Evaluate the integral ∫2048x2+4dx. Your answer should be in the form kπ, where k is an integer. What is the value of k? (Hint: darctan(x)dx=1x2+1 ) k= 6 (b) Now, lets evaluate the same integral using power series. First, find the power series for the function f(x)=48x2+4. Then, integrate it from 0 to 2, and call it S. S should be an infinite series ∑[infinity]n=0an . What are the first few terms of S?

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(a) Evaluate the integral ∫2048x2+4dx. Your answer should be in the form kπ, where k is an integer....