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Line integrals have a great many applications in the sciences, but were originally constructed mainly to compute work and mass in physics. Generally, if direction can be described along a curve using a parametric representation (called an orientable curve), then as a generalization of the Riemann integral it is possible to define a line integral where Riemann sums are constructed along the piecewise-smooth orientable curve. This topic illustrates how line integrals can be evaluated by reducing the line integral into a familiar one-variable integral with respect to the variable of parameterization of the piecewise-smooth orientable curve. Techniques for evaluating line integrals and applications are also detailed.

 

Books: multivariable calculus

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Multivariable Calculus (Stewart's Calculus Series)  Multivariable Calculus (Stewart's Calculus Series)
Author: James Stewart

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Rating: 3.5 out of 5 stars 13 reviews
Sales Rank: 2729
Category: Book
ASIN: 0495011630
Publication Date: June 12, 2007
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Student Solutions Manual for Stewart's Multivariable Calculus, 6th Edition  Student Solutions Manual for Stewart's Multivariable Calculus, 6th Edition
Authors: Dan Clegg, Barbara Frank

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Rating: 3.5 out of 5 stars 6 reviews
Sales Rank: 2557
Category: Book
ASIN: 0495012289
Publication Date: August 6, 2007
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Calculus: Single and Multivariable  Calculus: Single and Multivariable
Author: Deborah Hughes-Hallett

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Rating: 3.0 out of 5 stars 19 reviews
Sales Rank: 4125
Category: Book
ASIN: 0470089148
Publication Date: December 3, 2008
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Multivariable Calculus: Concepts and Contexts (Stewart's Calculus Series)  Multivariable Calculus: Concepts and Contexts (Stewart's Calculus Series)
Author: James Stewart

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Rating: 4.5 out of 5 stars 13 reviews
Sales Rank: 2553
Category: Book
ASIN: 0495560545
Publication Date: March 11, 2009
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Calculus: Multivariable  Calculus: Multivariable
Authors: William G. McCallum, Deborah Hughes-Hallett, Andrew M. Gleason, David O. Lomen, David Lovelock, Jeff Tecosky-Feldman, Thomas W. Tucker, Daniel E. Flath, Joseph Thrash, Karen R. Rhea, Andrew Pasquale, Sheldon P. Gordon, Douglas Quinney, Patti Frazer Lock

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Rating: 2.0 out of 5 stars 10 reviews
Sales Rank: 19218
Category: Book
ASIN: 0470131586
Publication Date: December 3, 2008
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Calculus Multivariable  Calculus Multivariable
Authors: Ron Larson, Bruce H. Edwards

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Rating: 4.5 out of 5 stars 7 reviews
Sales Rank: 19435
Category: Book
ASIN: 0547209975
Publication Date: January 14, 2009
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Multivariable Calculus: Early Transcendentals (Stewart's Calculus Series)  Multivariable Calculus: Early Transcendentals (Stewart's Calculus Series)
Author: James Stewart

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New (17) Used (23) from $101.15

Rating: 4.5 out of 5 stars 5 reviews
Sales Rank: 21587
Category: Book
ASIN: 049501172X
Publication Date: June 20, 2007
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Calculus Multivariable  Calculus Multivariable
Authors: Howard Anton, Irl C. Bivens, Stephen Davis

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Rating: 3.0 out of 5 stars 2 reviews
Sales Rank: 13069
Category: Book
ASIN: 0470183462
Publication Date: March 23, 2009
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Multivariable Calculus (6th Edition)  Multivariable Calculus (6th Edition)
Authors: C. Henry Edwards, David E. Penney

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Rating: 2.5 out of 5 stars 7 reviews
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ASIN: 0130339679
Publication Date: May 31, 2002
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Multivariable Calculus: Early Transcendentals  Multivariable Calculus: Early Transcendentals
Author: Jon Rogawski

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Sales Rank: 25777
Category: Book
ASIN: 1429210796
Publication Date: June 22, 2007
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