Part A: Definition of the Definite Integral and First Fundamental Theorem

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

Clip 1: Example of Estimation

Clip 2: Example: Change of Variables

Recitation Video

Definite Integral by Substitution

Worked Example

Integration by Change of Variables

Lecture Video and Notes

Video Excerpts

Clip 1: Substitution When u' Changes Sign

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Course Info

Learning Resource Types

grading Exams with Solutions
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theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations