ap calculus january 13, 2009

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Quiz on antidifferentiation.

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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

n M (midpoint sum) Error T (trapezoid sum) Error

4

8

16

n n

Use your calculator and the RIESUM program to complete the table for this integral.Is there a pattern in the error sizes?

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