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I have been going round in circles trying to figure it out so I figured it would be quickest and easiest to just ask:

What is the definition of: [tex] \int f(x) d^4 x [/tex]

I first thought it was:

[tex] =\int \int \int \int f(x) dx^1 dx^2 dx^3 dx^4 [/tex]

but now I am starting to think it is:

[tex] = \int f(x) dx^1 +\int f(x) dx^2 +\int f(x) dx^3 +\int f(x) dx^4 [/tex]

Thanks for any help.

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# 4 tensor integration notation

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