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
» Clip 1: Indefinite Integrals over Singularities (00:04:00)
From Lecture 36 of 18.01 Single Variable Calculus, Fall 2006
Clip 1: Indefinite Integrals over Singularities
> Download from iTunes U (MP4 - 109MB)
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» Clip 2: Improper Integrals of the Second Kind, Continued (00:05:00)
From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006
Clip 2: Improper Integrals of the Second Kind, Continued
> Download from iTunes U (MP4 - 111MB)
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» Clip 3: Overview of Improper Integrals (00:07:00)
From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006
Clip 3: Overview of Improper Integrals
> Download from iTunes U (MP4 - 111MB)
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» Clip 4: An Improper Integral of the Second Kind (00:06:00)
From Lecture 37 of 18.01 Single Variable Calculus, Fall 2006
Clip 4: An Improper Integral of the Second Kind
> Download from iTunes U (MP4 - 111MB)
> Download from Internet Archive (MP4 - 111MB)