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    I know that the line integral is independent of the path between some start point, a and an endpoint, b if the field is conservative, and that the test for conservatism is

    \displaystyle \frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}

    in 2-Dimensions, but the problem I am trying to solve has it in three dimensions. How do I prove it is conservative in 3-D?
 
 
 
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