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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 If

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In 3 space

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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 Lets look at calculating line integrals with Maple

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