Single Variable Calculus

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

Clip 1: Introduction to Arc Length

Clip 2: Example: y=mx

Clip 3: Example: Circular Arc

Clip 4: Example: Length of a Parabola

Recitation Video

Arc Length of y=x^3/2

Worked Example

Arc Length of y=ln(x)

• Problem (PDF)
• Solution (PDF)

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