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Published byKyree Drain Modified over 4 years ago

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**Section 18.2 Computing Line Integrals over Parameterized Curves**

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**Last section we began to examine line integrals **

Now we need to figure out how to evaluate them Main problem: Evaluate the following where C is the oriented curve parameterized by In 2 space In 3 space

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**If C is piecewise smooth and is a continuous vector field we have**

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In 3 space

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**and C is the right hand side of the unit circle**

Example 1 and C is the right hand side of the unit circle So we will need the parameterization of C Example 2 and C is the triangle joining (1,0), (0,1) and (-1,0) In this case we will need to find parametric equations for each curve Let’s look at calculating line integrals with Maple

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Chapter 10-Vector Valued Functions Calculus, 2ed, by Blank & Krantz, Copyright 2011 by John Wiley & Sons, Inc, All Rights Reserved.

Chapter 10-Vector Valued Functions Calculus, 2ed, by Blank & Krantz, Copyright 2011 by John Wiley & Sons, Inc, All Rights Reserved.

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