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Antidifferentiating by Substitution The Birth of Substitution

AP Calculus January 23, 2009

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Page 1: AP Calculus January 23, 2009

Antidifferentiating by Substitution

The Birth of Substitution

Page 2: AP Calculus January 23, 2009

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

=

=

Substitute

Antidifferentiate

Resubstitute

Page 3: AP Calculus January 23, 2009

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

Page 4: AP Calculus January 23, 2009

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

Page 5: AP Calculus January 23, 2009

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

Page 6: AP Calculus January 23, 2009

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


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