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Lecture 6

Week 3 (Lecture 6-8) Lecture Notes

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School
Department
Mathematics
Course
MATH 138
Professor
Francis Poulin
Semester
Winter

Description
Lec 6 Integration by Rational Function by Partial FractionMonday January 16 20121029 AMSec 74Techniques of IntegrationSubstitution1Integration by parts2Trig Integrals3Trig substitutions4Partial functions5Recall We will learn how to do this backwards so that the integrand can be rewritten as a sum of terms each of which we can be rewritten as a sum of terms each of which we can integrateDefinitionA rational functionis the formwhereare polynomialsThe function is proper rational function if the degree ofthe degree of We only apply partial fractions on proper rational functionsIf not proper then we long division to reduce itExampleEvaluate We can use long divisionMATH 138 Page 1
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