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Error Bounds

The accuracy delivered by these methods is seen in the following error bounds. (Recall that the error bound is a bound on the absolute value of the difference between the actual area under the curve and its estimated value.)

For n intervals we express the error between the actual and approximate area by . From page 306 of the text we have:

Trapezoidal error:
, M is the max value of on .
Simpson's error:
, K is the max value of on .

Sean O Anderson
Tue Nov 7 09:45:27 EST 1995