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A Hole in One!
approximately




                 almost there by flickr user patsun
Now find each of these antiderivatives ...
How do you find an integral when you can't find an antiderivative?
Left- and Right-Hand Sums
Trapezoid Sums
Midpoint Sums
Use your calculator and the RIESUM program
to complete the table for this integral.
Is there a pattern in the error sizes?

       HOMEWORK
  n     Mn (midpoint sum)           T (trapezoid sum)
                            Error                       Error
                                     n

  4

  8

  16

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AP Calculus January 13, 2009