# I Difference Between d3x and triple Integral

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1. Sep 24, 2017

### Moayd Shagaf

So My Question Is Simple, But It confuse me too much!
What Is Difference between the notation ∫d3x and ∫∫∫dxdydz ?

2. Sep 24, 2017

### Dr Transport

nothing....

3. Sep 24, 2017

### Staff: Mentor

Have you seen the first form somewhere? The more usual form for a triple integral like this would be $\int_D dV$, where D is some three-dimensional region. As an iterated integral, it might be written in a form such as $\int_e^f~\int_c^d~\int_a^b dx~dy~dz$.

4. Sep 26, 2017

### jasonRF

I completely agree.
$\int\, d^3x = \int \int \int \, dx_1 \, dx_2 \, dx_3$
Likewise, an N dimensional integral can be denoted $\int \, d^Nx$.

I often use this notation myself to remind me how many dimensions I am working in. I picked up the habit from my graduate advisor who used this notation exclusively as far as I can recall.

jason