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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

How to Reuse and Attribute This Content

If you derive a copy of this content using a OpenStax_CNX account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 3.0), you must include

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

See the citation section below for examples you can copy.

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, OpenStax_CNX 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 [OpenStax_CNX 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 OpenStax_CNX 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." OpenStax_CNX. 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," OpenStax_CNX, 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. OpenStax_CNX, 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. OpenStax_CNX. 9 Dec. 2010 <http://cnx.org/content/m36226/1.2/>.