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Session 91: Improper Integrals

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Overview

Integration allows us to find the area under the curve. Improper integrals let us find this area (if it’s well defined) even when that curve extends to infinity. Knowing whether the area under a graph up to a large, finite value of x is significantly different from the area under the entire graph can help us simplify calculations and avoid approximation errors.

Lecture Video and Notes

Video Excerpts

Worked Example

Integrating 1/(5x + 2)2 from 1 to Infinity

Recitation Video

A Solid With Finite Volume and Infinite Cross Section

Lecture Video and Notes

Video Excerpts

Recitation Video

Improper Integrals

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Course Features

grading Exams - Solutions
grading Exams - Solutions
laptop_windows Interactive simulations - Applet
laptop_windows Interactive simulations - Applet