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A Hole in One! approximately almost there by flickr user patsun

AP Calculus January 13, 2009

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Quiz on antidifferentiation.

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Page 1: AP Calculus January 13, 2009

A Hole in One!approximately

almost there by flickr user patsun

Page 2: AP Calculus January 13, 2009
Page 3: AP Calculus January 13, 2009
Page 4: AP Calculus January 13, 2009
Page 5: AP Calculus January 13, 2009
Page 6: AP Calculus January 13, 2009
Page 7: AP Calculus January 13, 2009

Now find each of these antiderivatives ...

Page 8: AP Calculus January 13, 2009

How do you find an integral when you can't find an antiderivative?

Page 9: AP Calculus January 13, 2009

Left- and Right-Hand Sums

Page 10: AP Calculus January 13, 2009

Trapezoid Sums

Page 11: AP Calculus January 13, 2009

Midpoint Sums

Page 12: AP Calculus January 13, 2009

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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