(a) Evaluate the integral 2 32 da. 0 x+4 Your answer should be in the form lex, where le is an integer. What is the value of k? Hint: k daretan(2) da 1 x+1 32 (b) Now, lets evaluate the same integral using power series. First, find the power series for the function f(x)=34. 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? ao 0 a1 02 a3 a4= (c) The answers to part (a) and (b) are equal (why?). Hence, if you divide your infinite series from (b) by k (the answer to (a)), you have found an estimate for the value of in terms of an infinite series. Approximate the value of by the first 5 terms. (d) What is the upper bound for your error of your estimate for if you use the first 7 terms? (Use the alternating series estimation.)