AP Calculus Slides January 10, 2008

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Darren Kuropatwa

Introduction to antidifferentiation by substitution.

Negócios Tecnologia

Antidifferentiating by
Substitution

The Birth of Substitution

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

=

Resubstitute
Substitute

=
Antidifferentiate

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

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

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

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

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

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

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AP Calculus Slides January 10, 2008

1. Antidifferentiating by Substitution The Birth of Substitution

2. Substitution: The Big Idea ... an example ... = Resubstitute Substitute = Antidifferentiate

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

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

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

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

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

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