Lesson #88
The Exact Differential




Quote of the Day:
"Education is what survives when what has been learned has been forgotten." -- B. F. Skinner



Objectives:

The student will integrate integrals involving substitutions.

The student will learn to form the exact differential when integrating more complicated functions.



1. Collect Homework.





4. Story about Integration

Two mathematicians were having dinner.

One was complaining, "The average person is a mathematical idiot.

People cannot do arithmetic properly, cannot balance a check book, cannot figure tips, cannot do percents,..."

The other mathematician disagreed, "You're exaggerating.

People know all the math they need to know."

Later in the dinner, the complainer went to the men's room.

The other mathematician beckoned to the waitress and said, "The next time you come past our table, I am going to stop you and ask you a question.   No matter what I say, I want you to answer by saying "x-squared."

When the other mathematician returned, his companion said, "I am tired of your complaining.   I am going to stop the next person who comes by our table and ask him or her an elementary calculus question, and I bet the person can solve it."

Soon the waitress came by and he asked, "Excuse me, Miss, but can you tell me what the integral of 2x with respect to x is?"   The waitress replied, "x-squared."

The mathematician said, "See!"   His friend said, "Oh I guess you're right."   And the waitress said, "Plus a constant."



5. Assignment
p. 371 (1d, 9, 11, 25, 31, 33, 38, 41, 42, 43, 44)

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Send any comments or questions to: David Pleacher