TRAPEZOIDAL METHOD: ERROR FORMULA
ET n (f) Z b a f(x)dx T n(f) can be analyzed by adding together the errors over the subintervals [x 0;x 1], [x 1;x 2], :::;[x n 1;x n]. Recall Z +h f(x)dx h 2 [f( ) + f( + h)] = h3 12 f00(c) Then on [x j 1;x j], Z x j x j 1 f(x)dx h 2 [f(x j 1) + f(x j)] = h3 12 f00(j) with x j 1 j x j. Combining these errors, we obtain ET n (f) = h3 12 f00(1 ...
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