Different results while switching the order of integration

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    Integration
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Homework Help Overview

The original poster is encountering a discrepancy in results when switching the order of integration in a mathematical problem. The subject area appears to involve calculus and integration techniques.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster seeks assistance in identifying a potential mistake related to the order of integration. Some participants discuss the appropriate limits of integration for each variable, while others express confusion regarding the explanation provided.

Discussion Status

The discussion includes attempts to clarify the limits of integration and references to external resources, such as a video, which some participants found helpful. There is an ongoing exploration of the issue without a clear consensus on the resolution.

Contextual Notes

Participants are navigating the complexities of integration limits and their implications on the results, indicating a need for further clarification on the setup of the problem.

Amaelle
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Homework Statement
∫y dA where the region is the triangle A(0,0) B(0,1) C(1,1)
Relevant Equations
y=x
0<x<1 and 0<y<1 and y=x
my Problem is that I get a different result when I switch the order of integration (X over Y), I couldn't spot the mistake, any help would highlyu appreciated
20200824_143133.jpg
20200824_143118.jpg
 
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the upper limits should be y in the first instance (for x) and x in the second (for y)
 
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this is what is written no? could you please explain more i still didn't get your point?
 
Sorry I misread your images. I will instead send you to a video as the easiest route
 
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Great video, thanks a million it answered perfectly my question!
 
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