Calculus on Demand at Dartmouth College Lecture 24 | Index | Lecture 26
Lecture 25


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Contents

In this lecture we derive a formula for finding the length of a curve in the plane as an example of modeling using the Method of Accumulations.


Quick Question

What is the length of the slanted line (in red)?


Answer

Outline

Outline for Arc Length

Textbook

Arc Length

Today's Homework

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Quiz

Arc Length Quiz

Examples

  • Find the length of the parabola y = x2 from x = 0 to x = 1.
  • Find the length of the curve y = sin(x) from x = 0 to x = π.
  • Find the circumference of the hypocycloid x2/3 + y2/3 = a2/3.

Applets

  • Click to see the appletNumerical Integration

Videos

  • click to see the videoFind the length of the curve y = cosh x from x = –1 to x = 1

Lecture 24 | Index | Lecture 26