Session 56: Geometric Interpretation of Definite Integrals

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Overview

In this session we use definite integrals to compute areas of regions between curves.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Areas Between Curves (00:05:00)

» Accompanying Notes (PDF)

From Lecture 21 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Example: Area Between x = y2 and y = x − 2 (00:18:00)

» Accompanying Notes (PDF)

From Lecture 21 of 18.01 Single Variable Calculus, Fall 2006

Recitation Video

 

Area Between the Graphs of Sine and Cosine

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Area Between y=x3 and y=3x-2

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Worked Example

 

Area of a Smile

 

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