Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve


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)

Lesson #100 The Fundamental Theorem of Calculus and Area Under the Curve

Click here to go to the next page