Quote of the Day: "He who can properly define and divide is to be considered a god." -- Plato Objectives: The student will learn another method to evaluate integrals – long division. 1. Collect Homework. 2. Definition of the Natural Logarithm
3. Integral formulas for the tangent and cotangent
4. Using Long Division to integrate First, Show Abbott and Costello's proof that 7x13=28 (Use LONG DIVISION to check)Click here for Abbott and Costello's routine
If you are trying to integrate a quotient of polynomial expressions, examine the highest powers of the numerator and the denominator. If the degree of the numerator is equal to or greater than the degree of the denominator, use long division to simplify the expression. Then integrate it. Examples:
5. Examples: 6. Comic strip on Long Division 7. Show the Integral Limerick – work out solution 8. Hand out Find the Bingo Sheets 9. Comic strip on Long Division 10. Comic strip on Long Division
11. Assignment p. 451 (3, 7, 31, 32, 33)Find The Bingo Worksheet (ex and logs) |