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."
        Click here to see what mathematicians eat
  
5. Assignment
     p. 371 (1d, 9, 11,  25, 31, 33, 38, 41, 42, 43, 44)

       

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