18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

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

Session 44: Adding Areas of Rectangles

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By dividing a region up into thinner and thinner rectangles, we can describe its area as a limit of sums of rectangle areas. Even when using summation notation, this process can be time consuming.

Lecture Video and Notes

Video Excerpts

Clip 1: Example: f(x)= x2

Clip 2: Summation Notation

Recitation Video

Summation Notation Practice

Worked Example


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Course Info

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