What does the notation d³x/y³ mean in a triple integral?

[NODARman]

Homework Statement

.

Relevant Equations

.

Hi, just wondering does this mean the triple integral of "y" with respect to "x"?
$$
\int \frac{d^{3} x}{y^{3}} .
$$

 

[kuruman]

Without the benefit of the context, I would say a cautious "yes". Cautious because $d^3x$ is shorthand for $dx_1~dx_2~dx_3$ so there is no single variable of integration "x".

 

[BvU]

Homework Statement:: .
Relevant Equations:: .

Hi, just wondering does this mean the triple integral of "y" with respect to "x"?
$$
\int \frac{d^{3} x}{y^{3}} .
$$

any context? bounds ? Complete problem statement ?

 

[haruspex]

Is y a function of position in three dimensions?

 

[NODARman]

any context? bounds ? Complete problem statement ?

Is y a function of position in three dimensions?

I found it in a textbook, it's very general "equation".

 

[haruspex]

I found it in a textbook, it's very general "equation".

What you posted is an expression, not an equation. What is the rest of it?
There must be some context or it would be meaningless.