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Inverse of a volume integral

  1. Nov 28, 2015 #1

    dyn

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    In 1-D the inverse of ∫ dx is dy/dx so how is the inverse of the volume integral ∫ d3x = ∫ dxdydz denoted ? Thanks
     
  2. jcsd
  3. Nov 28, 2015 #2

    andrewkirk

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    One would need to specify it a lot more precisely to elevate either the 1D example you gave, or the 3D one I'll give, to the status of a function inverse. But loosely speaking, I think what you are looking for is
    $$\frac{d^3V}{dx\,dy\,dz}$$
    where ##V## is the volume.
     
  4. Nov 28, 2015 #3

    dyn

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    Thanks. That makes sense but I've never seen that kind of notation before. In fact I don't think I've ever seen any notation to cover this. I just thought I was missing something obvious.
     
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