Triple Integral w/ Respect to x & y Help

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Homework Help Overview

The discussion revolves around the interpretation of a triple integral expression involving the variable "y" and its relation to the variable "x". Participants are exploring the meaning of the notation used in the integral and the necessary context for its evaluation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are questioning whether the integral represents the triple integral of "y" with respect to "x". There is a discussion about the notation ##d^3x## and its implications, as well as inquiries about the context, bounds, and whether "y" is a function of position in three dimensions.

Discussion Status

The conversation is ongoing, with participants seeking clarification on the context and completeness of the problem statement. Some guidance has been offered regarding the notation and the need for additional information to properly interpret the integral.

Contextual Notes

There is a noted lack of context, bounds, and a complete problem statement, which are essential for understanding the integral's application. Participants are also discussing the generality of the expression found in a textbook.

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

Hi, just wondering does this mean the triple integral of "y" with respect to "x"?
$$
\int \frac{d^{3} x}{y^{3}} .
$$
any context? bounds ? Complete problem statement ?
 
Is y a function of position in three dimensions?
 
BvU said:
any context? bounds ? Complete problem statement ?
haruspex said:
Is y a function of position in three dimensions?
I found it in a textbook, it's very general "equation".
 
NODARman said:
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.
 

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