ap calculus slides january 10, 2008
DESCRIPTION
Introduction to antidifferentiation by substitution.TRANSCRIPT
![Page 1: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/1.jpg)
Antidifferentiating by Substitution
The Birth of Substitution
![Page 2: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/2.jpg)
Substitution: The Big Idea ... an example ...
=
=
Substitute
Antidifferentiate
Resubstitute
![Page 3: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/3.jpg)
Substitution ... when the pieces are all there ...
![Page 4: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/4.jpg)
Substitution ... when the pieces are all there ...
![Page 5: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/5.jpg)
Substitution ... when the pieces are all there ...
![Page 6: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/6.jpg)
Substitution ... when some pieces are missing ...
![Page 7: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/7.jpg)
Substitution ... when some pieces are missing ...
![Page 8: AP Calculus Slides January 10, 2008](https://reader034.vdocuments.site/reader034/viewer/2022042614/55987b0f1a28ab91218b4867/html5/thumbnails/8.jpg)
Substitution ... when some pieces are missing in a definite integral ...