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Lecture

Substitution Rule - Calculus

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Department
Mathematics
Course
MATH 101
Professor
Tim Hulshof
Semester
Winter

Description
January 17, 2014 Week 2 Chapter 5.5 - Substitution Rule The Substitution Rule If u=g(x) is a differentiable function whose range is an Interval I and f is continuous on I , then… • If u=g(x), then du=g’(x)dx, so a way to remember the Substitution Rule is to think of dx and du as differentials. • Thus the Substitution Rule says: It is permissible (allowed) to operate with dx and du after integral signs as if they were differentials. Example 1: Find st: 1 let u= (being the most ugly looking one in the question) 2 : let du= dx and plug these to the question to make it look simpler. =
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