SEvaluate the integral2 40x + 4-dx.Your answer should be in the form k, where k is aninteger. What is the value of k?Hint:k =(b)Now, lets

SEvaluate the integral2 40x² + 4-dx.Your answer should be in the form k, where k is aninteger. What is the value of k?Hint:k =(b)Now, lets evaluate the same integral using power series.First, find the power series for the function40f(x):ao||-x² + 4S. S should be an infinite series.What are the first few terms of S ?a1 =a2 =darctan(x)dxa3 =a =1x² + 1-. Then, integrate it from 0 to 2, and call it