2. Write a program that implements the composite Simpson's rule for approximating the integralf(x)dr (a) Use your program with n = 100 to approximate the integrals yxax and | Vxdx. Calculate the absolute error of each approximation. Why is the error for the first integral worse than that of the second? Turn in a copy of your program and the output for each integral. (b) Use your program with n-20to approximate the integral I, ex-dr. Use the error formula to obtain an upper bound for the error. Use a computer or calculator to approximate the exact value of the integral. Is the absolute error within the error bound