2. In this exercise we use numerical integration to estimate with a good accuracy. Let f(x)=x2+14 (a) Use Simpson's Rule with n=4 sub-intervals, to estimate 01x2+14dx. Round your answer up to 6 decimal places. (b) Find an upper bound for the error of this approximation. You can use the upper bound f(4)(x)MS=100 over [0,1] (c) Using (a) and (b), give an estimate to with an accuracy of 4001