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.423 (5, 7, 9, 11, 13, 15, 29, 31, 34, 35, 43, 54)
Finish Mini Exam Review Sheets

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Send any comments or questions to: David Pleacher