Session 43: Definite Integrals

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Overview

We can use antiderivatives to find the area bounded by some vertical line x=a, the graph of a function, the line x=b, and the x-axis. We can prove that this works by dividing that area up into infinitesimally thin rectangles.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Introduction to Definite Integrals (00:04:00)

» Accompanying Notes (PDF)

From Lecture 18 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Definition of Definite Integrals (00:03:00)

» Accompanying Notes (PDF)

From Lecture 18 of 18.01 Single Variable Calculus, Fall 2006

Worked Example

 

Integration Intuition

 

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