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About: Integration over Smooth Curves in the Plane: Arc Length

Module by: Lawrence Baggett. E-mail the author

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Metadata

Name: Integration over Smooth Curves in the Plane: Arc Length
ID: m36226
Language: English (en)
Summary: A formula for calculating arc length, an exercise exploring the possibility of infinite length, and some other related theorems, remarks, and exercises.
Subject: Mathematics and Statistics
Keywords: arc length, curve of infinite length, parametrization, piecewise smooth curve
License: Creative Commons Attribution License CC-BY 3.0
Authors: Lawrence Baggett (lawrence.baggett@colorado.edu)
Copyright Holders: Lawrence Baggett (lawrence.baggett@colorado.edu)
Maintainers: Lawrence Baggett (lawrence.baggett@colorado.edu), Daniel Williamson (dcwill@cnx.org), Jared Adler (jca2@rice.edu)
Latest version: 1.2 (history)
First publication date: Oct 5, 2010 2:50 pm -0500
Last revision to module: Dec 9, 2010 4:55 pm -0600

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Version History

Version: 1.2 Dec 9, 2010 4:55 pm -0600 by Jared Adler
Changes: 
links, summary added
Version: 1.1 Nov 25, 2010 8:47 am -0600 by Jared Adler
Changes: 
initial publish

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  • the authors' names: Lawrence Baggett
  • the title of the work: Integration over Smooth Curves in the Plane: Arc Length
  • the Connexions URL where the work can be found: http://cnx.org/content/m36226/1.2/

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How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Baggett, L. Integration over Smooth Curves in the Plane: Arc Length, Connexions Web site. http://cnx.org/content/m36226/1.2/, Dec 9, 2010.

American Medical Assocation (AMA) Manual of Style:

Baggett L. Integration over Smooth Curves in the Plane: Arc Length [Connexions Web site]. December 9, 2010. Available at: http://cnx.org/content/m36226/1.2/.

American Psychological Assocation (APA) Publication Manual:

Baggett, L. (2010, December 9). Integration over Smooth Curves in the Plane: Arc Length. Retrieved from the Connexions Web site: http://cnx.org/content/m36226/1.2/

Chicago Manual of Style (Bibliography):

Baggett, Lawrence. "Integration over Smooth Curves in the Plane: Arc Length." Connexions. December 9, 2010. http://cnx.org/content/m36226/1.2/.

Chicago Manual of Style (Note):

Lawrence Baggett, "Integration over Smooth Curves in the Plane: Arc Length," Connexions, December 9, 2010, http://cnx.org/content/m36226/1.2/.

Chicago Manual of Style (Reference, in Author-Date style):

Baggett, L. 2010. Integration over Smooth Curves in the Plane: Arc Length. Connexions, December 9, 2010. http://cnx.org/content/m36226/1.2/.

Modern Languages Association (MLA) Style Manual:

Baggett, Lawrence. Integration over Smooth Curves in the Plane: Arc Length. Connexions. 9 Dec. 2010 <http://cnx.org/content/m36226/1.2/>.