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Homework Help: Change to Polar coords help

  1. Jan 28, 2009 #1
    I'm working on a double integral and need to change from cartesian to polar coords.

    The double integral in cartesian coords is
    Double integral from 0 to a (in dy) and from -sqrt(a^2 - y^2) in dx (NOTE minus sign before sqrt)

    the little minus sign is troubling. How would I convert this region into polar coords?
  2. jcsd
  3. Jan 28, 2009 #2
    I'm guessing your a is your radius? So what does y = ?
  4. Jan 28, 2009 #3
    the whole question is

    Double integral
    (0 to a) (-sqrt(a^2 - y^2) to 0) of x^2y dxdy
  5. Jan 28, 2009 #4
    Right, I'm asking you in polar coordinates, what does y =?
  6. Jan 28, 2009 #5
    y = rsintheta

    but I solved it, thanks anyway
  7. Jan 28, 2009 #6
    Doesn't it equal a sin(theta) here?
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