lect138_6_w11

lect138_6_w11 - Monday January 17 Lecture 6 : Rational...

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Monday January 17 Lecture 6 : Rational functions : Partial fractions ( Refers to Section 7.4 of your text ) Expectations: 1. Solve integrals containing rational functions by “partial fractions” method. In this lecture we integrate rational functions where the degree of the numerator is less than the degree of the denominator. 6.1 Rational functions as partial fractions The method of integration called Partial fractions is an algorithm for integrating a rational function where the degree of the denominator is larger than the degree of the numerator. The principles of “partial fractions” are given as we proceed through the following examples. 6.2 Example 1 : Case where the irreducible factors of the denominator are all of degree 1. Find Solution: Solve for A and B : We now integrate:
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6.2.1 Principle applied in example 1 : If the irreducible factors in the denominator are all of degree 1 and of multiplicity 1 then express the integrand as a sum of partial fractions each of which has a constant as numerator.
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lect138_6_w11 - Monday January 17 Lecture 6 : Rational...

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