18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Second Fundamental Theorem, Areas, Volumes

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

Clip 1: Areas Between Curves

Clip 2: Example: Area Between x = y2 and y = x − 2

Recitation Video

Area Between the Graphs of Sine and Cosine

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

Worked Example

Area of a Smile

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Course Info

Instructor
Departments
As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Simulations
Recitation Videos