Question 1 (10 points) In this problem we will use three different methods to integrate / 60 dr. You may use a calculator on this problem to simplify x2 + 1 your answers but you must write out all the calculations you performed on your calculator. (a) (4 points) Use Simpson's method with n = 4 subintervals to estimate: 60 dx x2 + 160 (b) (4 points) Find a power series representation of Use the first 3 12 + 1 non-zero terms to approximate / 60 x2 + 1 dr. 60 (c) (2 points) Evaluate 60 - x2 + 1 der by finding an antiderivative of x2 + 1 How does this answer compare to your answers in parts (a) and (b)