Lesson #105 Evaluating Definite Integrals with Substitution

Quote of the Day:
"Millions saw the apple fall, but Newton asked why." 
    -– Bernard Baruch
   
Objectives:
The student will learn two methods to evaluate integrals, 
   using the substitution method.

1. Collect Homework.

2. Example:  
       

3. Example – Newton's Law of Cooling
   According to Newton's law of Cooling, the rate of change
   of an object's temperature is proportional to the 
   difference between the temperature of the object  and 
   that of the surrounding medium.  

   For example, a glass of lemonade with a temperature of
   40 degrees Fahrenheit sits in a room whose temperature 
   is a constant 70 degrees F.  
   The model for the temperature T in degrees Fahrenheit
   of the glass of lemonade t hours after being placed in 
   the room is 

       

4. More Examples
       

5. Assignment
   p.444 (3, 4, 5, 7, 10, 11, 24, 25, 28, 29, 37, 44)

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