Theorem 7. 4 (Successive Trapezoidal Rules ) Suppose that J> 1 and the points ak=a+kh subdivide [ a, b] into 2=2M subintervals of equal width h=(6-a)/2. The trapezoidal rules T(f, h) and T(, 2h)obey the relationshi T(, 2h) +b∑(2-1 2.45 k=1