RedAssigh4[1].1 - Unit: Techniques of Integration Module:...

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Unit: Techniques of Integration Module: Integration by Partial Fractions with Repeated Factors Repeated Linear Factors – Part Two www.thinkwell.com info@thinkwell.com Copyright 2001, Thinkwell Corp. All Rights Reserved. 1551 –rev 06/14/2001 Use polynomial long division when the degree of the numerator of a rational function is higher than the degree of the denominator. The partial fractions technique must be modified when factors of the denominator are repeated. To modify the partial fractions technique to work with repeated factors, each power of a factor that is repeated in the denominator must get its own partial fraction. When the numerator of the rational function is of greater order than the denominator, you can simplify the expression by using polynomial long division . Remember, the remainder goes over the original denominator and adds to the result of the division. It is also a good idea to factor the denominator.
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This note was uploaded on 04/27/2010 for the course MATH 172 taught by Professor Hyon during the Spring '10 term at Community College of Denver.

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RedAssigh4[1].1 - Unit: Techniques of Integration Module:...

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