# Inverse of a volume integral

1. Nov 28, 2015

### dyn

In 1-D the inverse of ∫ dx is dy/dx so how is the inverse of the volume integral ∫ d3x = ∫ dxdydz denoted ? Thanks

2. Nov 28, 2015

### andrewkirk

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.

3. Nov 28, 2015

### dyn

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.