Quote of the Day:
"But just as much as it is easy to find the differential 
   [derivative] of a given quantity, so it is difficult to 
   find the integral of a given differential. Moreover, 
   sometimes we cannot say with certainty whether the 
   integral of a given quantity can be found or not." 
      -- Johann Bernoulli

Objectives:
The student will compute definite integrals.

The student will find the area under a curve by computing 
  the definite integral.

1. Collect Homework.

2. Definition of the Definite Integral

3. Examples
       
       

4. Relationship of Area Under a Curve and the Definite Integral
       

Given the function above with the areas indicated, evaluate the integrals below:
       

5. Show comics with definite integrals

        Click here for Area using Integral (Do the area)
        Click here for Definite Integral

6. Find the area under one arch of the sine curve.

7. Assignment
   p.414 (17a-d, 19b,c, 20a,b,c, 21)

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