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Lecture

5.5 Integration & Anti-derivatives Method of Substitution: Overview

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
5.5 Integration & Anti-derivatives Method of Substitution: Overview Indefinite Integrals Use the method of substitution when the integral is in the form o∫: ( ( ) ) ( ) ( ( )) This follows after the pattern of Chain Rule, since: ( ( ))] ( ( )) ( ) Substitution is made for ( ). Thus, ( ( ) ) ( ) ( ( )) ( ) ( ) ∫ ∫ This is then written a∫: ( ( )) ( ) ∫ ( ) Definite Integrals There are two methods: 1) Determine the indefinite integral first. Then using the Fundamental Theorem of Calculus Part 2,
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