Now, lets evaluate the same integral using power series. first, find the power series for the function f(x = \frac{32}{x^2+4}. then, integrate it from 0 to 2, and call it s. s should be an infinite series. what are the first few terms of s ?

No idea what the previous part of the problem is, but you have




which is valid for , or . So the integral from 0 to 2 is




Note that since the power series only converges on the interval if is strictly less than 2, which means we have to treat this as an improper integral.

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