Theorem 7. 4(Successive Trapezoidal rules). Suppose that J> 1 and the points k=a+ kh subdivide [a, b into 2=2M subintervals of equal width h=(b-a)/2. The trapezoidal rules T(, h)and T(, 2h)obey the relationship T(, 2h) M +h∑f(a2-1