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Math Help - Greens theorem limits

  1. #1
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    Greens theorem limits

    What are the limits of integration where C is \frac{1}{2 }{x}^{ 2} + \frac{1}{4 }{y}^{ 2} = 1 taken anti-clockwise

    Thanks
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  2. #2
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    Switch to polar coordinates.





    The new area you get is obviously the unit circle which you should know the limits for.
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  3. #3
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    Quote Originally Posted by Mondreus View Post
    Switch to polar coordinates.





    The new area you get is obviously the unit circle which you should know the limits for.
    dq/dx - dp/dy = y-8

    y = 2r\sin \theta  \iint 2{r}^{2 } sin\theta -8r dr d\theta where r is between 1 and 0 and \theta is between 2\pi and 0

    Is that right?
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  4. #4
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    Almost, but the Jacobian is wrong.
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