The discussion centers on the interpretation of the triple integral expression $$\int \frac{d^{3} x}{y^{3}}$$ and its relation to the variable "y". Participants clarify that "d^3x" represents the differential volume element in three dimensions, specifically denoting integration over three variables (dx_1, dx_2, dx_3). The lack of context, such as bounds or the definition of "y" as a function of position, renders the expression ambiguous and incomplete.
PREREQUISITESStudents and educators in mathematics, particularly those studying calculus and multivariable analysis, as well as anyone seeking clarity on the interpretation of integrals in higher dimensions.
any context? bounds ? Complete problem statement ?NODARman said:Homework Statement:: .
Relevant Equations:: .
Hi, just wondering does this mean the triple integral of "y" with respect to "x"?
$$
\int \frac{d^{3} x}{y^{3}} .
$$
BvU said:any context? bounds ? Complete problem statement ?
I found it in a textbook, it's very general "equation".haruspex said:Is y a function of position in three dimensions?
What you posted is an expression, not an equation. What is the rest of it?NODARman said:I found it in a textbook, it's very general "equation".