16 w2+4 d3: 2 (a) Evaluate the integral: / 0 Your answer should be in the form kw, where k: is an integer. What is the value of k? . d 1 Hint: arctan(ac) 2 d3: :32 + 1 k= ([3) Now, let's evaluate the same integral using a power series. First, find the power series for the function 16 f(:1',') : . Then, integrate it from 0 to 2, and call the result 5. 5 should be an infinite series. m2+4