# Section 18.2 Computing Line Integrals over Parameterized Curves

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Section 18.2 Computing Line Integrals over Parameterized Curves

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

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

In 3 space

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