Reversing the order of integration

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    Integration
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Discussion Overview

The discussion revolves around the process of reversing the order of integration in a double integral, specifically focusing on how to change the limits of integration. The context includes mathematical reasoning and clarification of the integration process.

Discussion Character

  • Mathematical reasoning, Conceptual clarification

Main Points Raised

  • One participant seeks guidance on how to reverse the order of integration for a given double integral and asks about changing the limits of integration.
  • Another participant mentions prior advice given in a different thread regarding thread management on the forum.
  • A participant expresses uncertainty about drawing the necessary diagrams to visualize the integration limits.
  • There is a clarification about the horizontal and vertical limits of integration, indicating that x ranges from 0 to 3 and y ranges from sqrt(x/3) to 1.
  • A participant questions whether the limits of integration must be changed when reversing the order of integration.
  • There is a suggestion that the participant should have drawn the picture to better understand the integration limits.

Areas of Agreement / Disagreement

The discussion reflects uncertainty and disagreement regarding the process of changing limits when reversing the order of integration, as well as differing levels of understanding about visualizing the integration setup.

Contextual Notes

Participants have not resolved how to accurately change the limits of integration when reversing the order, and there is a lack of clarity on the necessity of drawing diagrams for understanding.

s7b
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Hi,

I want to reverse the order of this integration;

integral(from x=0 to x=3) integral(from y=sqrt(x/3) to y=1) of e^(y^3) dy dx

How do I change the limits of integration?
 
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Didn't I tell you what to do in the other thread though? Pretty sure you can move the threads you start (at least you could on the other boards I've been on) by going to Thread Tools
 
Well I didn't know.
I also don't get how to draw the pictures.
 
You are told what horizontal (i.e. x goes from and to i.e. between 0 and 3) and you are told what the vertical goes from (i.e. y goes from and to i.e. sqrt(x/3) to 1)
 
I get that but don't you have to change the limits of integration when you reverse the order of integration?
 
Yes, you said you don't know how to draw the picture, I told you what the picture would look like. Did you draw it?
 

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