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Session 49: Applications of the Fundamental Theorem of Calculus

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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

Recitation Video

Definite Integral by Substitution

Worked Example

Integration by Change of Variables

Lecture Video and Notes

Video Excerpts

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Course Features

grading Exams - Solutions
grading Exams - Solutions
laptop_windows Interactive simulations - Applet
laptop_windows Interactive simulations - Applet