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Session 78: Computing the Length of a Curve

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Overview

To find the length of a curve we break it up into infinitesimal pieces. Each piece is approximately a straight line segment; we use differential notation to compute and sum the lengths of these pieces.

Lecture Video and Notes

Video Excerpts

Recitation Video

Arc Length of y=x3/2

Worked Example

Arc Length of y=ln(x)

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Course Features

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