Path Integral to determine Work Done

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HallsofIvy
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"ds" is what I would call "the vector differential of arc length". Specifically, if the path is given by the parametric equations, x= x(t), y= y(t), z= z(t), then [itex]d\vec{s}= (dx/dt)\vec{i}+ (dy/dt)\vec{j}+ (dz/dt)\vec{j}[/itex].
 

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