Overview
In this session we see how definite integrals can be used in estimation, to find upper or lower bounds on an answer. Then we examine how the limits on the definite integral interact with substitutions.
Lecture Video and Notes
Video Excerpts
» Clip 1: Example of Estimation (00:08:00)
From Lecture 19 of 18.01 Single Variable Calculus, Fall 2006
» Clip 2: Example: Change of Variables (00:05:00)
From Lecture 19 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Example: Change of Variables
> Download from iTunes U (MP4 - 106MB)
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Recitation Video
Definite Integral by Substitution
> Download from iTunes U (MP4 - 21MB)
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Worked Example
Integration by Change of Variables
Lecture Video and Notes
Video Excerpts
» Clip 1: Substitution When u' Changes Sign (00:03:00)
From Lecture 19 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Substitution When u' Changes Sign
> Download from iTunes U (MP4 - 106MB)
> Download from Internet Archive (MP4 - 106MB)