ap calculus february 17, 2009
Post on 15-Jul-2015
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Numeric Integrationor How Close is Close Enough?
Near Miss by flickr user The Rocketeer
Left- and Right-Hand Sums
n M (midpoint sum) Error T (trapezoid sum) Error
Use your calculator and the RIESUM program to complete the table for this integral.Is there a pattern in the error sizes?
Error Estimates for Trapezoid and Midpoint Sums
a & b are endpoints of an intervaln is the number of subdivisions
M is the maximum value of the second derivative on the given interval.2
S = 2M + Tn n n3
Numeric Computation of Integrals
You can find a nice review of today's lesson here: