Corollary 2.2 (Trapezoidal Rule: Error Analysis). Suppose that [a, b] s subdivided into M subintervals [ak, k+1] of width h (b-a)/M.The composite trapezoidal rule h M-1 T(f, h)= (f(a)+f(b)+h ∑f(xk) (2.29) k=1 is an approximation to the integral b (x)dx T(f, h)+ Er(f, h). (2.30) Furthermore,iff∈c2la,b, there exists value with<c< so that the ,, error term Er(f, h) has the form b-a)f(2)(ch2-o(h2 12 (2.31)