where 
and C is the line segment from 
to 
.
Solution
We’ll first need the parameterization of the line segment. We saw how to get the parameterization of line segments in the first section on line integrals. We’ve been using the two dimensional version of this over the last couple of sections. Here is the parameterization for the line.
So, let’s get the vector field evaluated along the curve.
Now we need the derivative of the parameterization
The dot product is then,
The line integral becomes,
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