18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: L'Hospital's Rule and Improper Integrals

Session 93: Indefinite Integrals and Singularities

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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

Clip 2: Improper Integrals of the Second Kind, Continued

Clip 3: Overview of Improper Integrals

Clip 4: An Improper Integral of the Second Kind

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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