Lesson #100 The Fundamental Theorem of Calculus
and Area Under the Curve
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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"
Click here for an interactive lesson on net area under curve
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. Comic Strip with Definite Integral
9. Assignment
p. 425 (5, 9, 16, 17, 18, 23, 30)
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