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AP Calculus Slides January 10, 2008

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Introduction to antidifferentiation by substitution.
8
Antidifferentiating by Substitution The Birth of Substitution
Transcript
Page 1: AP Calculus Slides January 10, 2008

Antidifferentiating by Substitution

The Birth of Substitution

Page 2: AP Calculus Slides January 10, 2008

Substitution: The Big Idea ... an example ...

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Substitute

Antidifferentiate

Resubstitute

Page 3: AP Calculus Slides January 10, 2008

Substitution ... when the pieces are all there ...

Page 4: AP Calculus Slides January 10, 2008

Substitution ... when the pieces are all there ...

Page 5: AP Calculus Slides January 10, 2008

Substitution ... when the pieces are all there ...

Page 6: AP Calculus Slides January 10, 2008

Substitution ... when some pieces are missing ...

Page 7: AP Calculus Slides January 10, 2008

Substitution ... when some pieces are missing ...

Page 8: AP Calculus Slides January 10, 2008

Substitution ... when some pieces are missing in a definite integral ...


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