Session 93: Indefinite Integrals and Singularities

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Overview

We can find the area under the curve near a vertical asymptote using a process similar to the one used to find the area under a curve going to infinity. If we forget to do this, we may get a nonsensical value for our integral.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Indefinite Integrals over Singularities (00:04:00)

» Accompanying Notes (PDF)

From Lecture 36 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 2: Improper Integrals of the Second Kind, Continued (00:05:00)

» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 3: Overview of Improper Integrals (00:07:00)

» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

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» Clip 4: An Improper Integral of the Second Kind (00:06:00)

» Accompanying Notes (PDF)

From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006

 

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