Use Simpson's Rule with 4 subintervals to estimate the value of 1 (3r + 7x) dar. Give an exact value for S4- (3x3 Simpson's Rule Assume that f(x) is continuous over [a, b]. Let n be a positive even integer and Ax: [a, b] be divided into n subintervals, each of length Ax, with endpoints at P={0, 1, 2,...,xn}. Set Sn = Ax = Let = ( (x0) + 4 f (x1) + 2f (x2) +4 (x3)+2 (x4) + +2 (xn2) +4 (In1) Then, lim Sn n++ = b [* f(x) dx.