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Math Help - question about integrating over an ellipse?

  1. #1
    sue
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    question about integrating over an ellipse?

    integrate f(x,y)=xy over the ellipse (x/4)^2 + (y/2)^2 which is less than or equal to 1 .
    Do this by first changing variable, u= x/4 , v= y/2 .

    Please help. Thanks !
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  2. #2
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    Yes, that's all, now it's easy to check that 8\,du\,dv=dx\,dy and your region is the circle u^2+v^2\le1, so the common polar transformation will do the job.
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  3. #3
    sue
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    Quote Originally Posted by Krizalid View Post
    Yes, that's all, now it's easy to check that 8\,du\,dv=dx\,dy and your region is the circle u^2+v^2\le1, so the common polar transformation will do the job.
    can u explain more please?
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  4. #4
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    I don't know, from there it's clear.

    I'd like to know what you don't get.
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