Double Integration Homework: Changing Limits

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SUMMARY

The discussion centers on the process of changing limits in double integration homework, specifically transitioning from the limits of y = 0 to y = x - 2 and x = 2 to infinity, to new limits of x = y + 2 to infinity and y = 0 to infinity. The participant expresses confusion regarding the validity of their new limits, noting that these options are not presented in the homework. Another contributor confirms that the participant's approach appears correct but highlights the unusual nature of the question, particularly regarding the order of integration (dx dy).

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jaus tail
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Homework Statement


upload_2018-1-5_16-38-20.png


Homework Equations


I've drawn graph below.

The Attempt at a Solution


Currently their limits are y = 0 to y = x - 2 vertical arrow
and x = 2 to x = infinite. horizontal arrow
upload_2018-1-5_16-38-2.png

Changing limits i get right side graph.
x = y + 2 to x = infinite horizontal arrow
y = 0 to y = infinite vertical arrow
But that is not even there in options. Am i wrong somewhere?
 

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jaus tail said:
Changing limits i get right side graph.
x = y + 2 to x = infinite horizontal arrow
y = 0 to y = infinite vertical arrow
But that is not even there in options. Am i wrong somewhere?

What you have done looks right to me. The question is also odd in that they haven't changed the order of ##dxdy##.
 
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Thanks.
 

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