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Double integeral question ?

  • Thread starter rclakmal
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  • #1
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i dont think that the integral is needed to answer this question .the integral is in dxdy .(w.r.t to x and w.r.t y)
and i have to replace x and y variable by u and v variables where
u=2x-y and v=2x+y
i used Jacobian and transfer dxdy in to dudy .but the problem rises when i have to put limits of the integral
in the original problem the Y limits were 0 to 5 and X limits were Y=0 to Y=X ......

im finding it difficult to convert those limits in to U and V Cartesian plane .i think it will not necessary to supply the problem as it is not needed here ........can anybody help me??????
 

Answers and Replies

  • #2
tiny-tim
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… replace x and y variable by u and v variables where
u=2x-y and v=2x+y

the problem rises when i have to put limits of the integral
in the original problem the Y limits were 0 to 5 and X limits were Y=0 to Y=X ......
Hi rclakmal! :wink:

Hint: in these problems, write the limits as a combined inequality

0 ≤ y ≤ x ≤ 5 (or is it 0 ≤ x ≤ y ≤ 5 ? … I'm confused :confused:),

and then convert that into u and v :smile:
 

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