Lesson #100
The Fundamental Theorem of Calculus
and Area Under the Curve
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A.P. Calculus Course
(Day by Day)
Quote of the Day:
"If there's no struggle, there's no progress." -- Frederick Douglass
Objectives:
The student will learn the properties of the definite integral and apply them when solving integrals.
The student will learn the Fundamental Theorem of Calculus and apply it.
The student will distinguish between the area under the curve and the value of the definite integral.
1. Collect Homework.
2. Area Under a Curve — Example #1
3. Total Area versus "Net Area"
4. Area Under a Curve -- Example #2
5. Area Under A Curve — Example #3
6. F.T.C. Example (1988 A.P. Exam #25)
7. Song -- "Fifty Ways To Do an Integral"
8. Assignment
p. 407 (17, 18, 23, 29a)
Cookie Recipe (pdf file)
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Send any comments or questions to:
David Pleacher
