Double Integral Using Polar Coordinates

Discussion in 'Homework Help' started by Heavydoody, Mar 11, 2010.

  1. Heavydoody

    Thread Starter Active Member

    Jul 31, 2009
    140
    11
    "R is the region in the first quadrant enclosed by x^2+y^2=25. Use polar coordinates to evaluate the double integral of ye^x dA."

    So, I see that the base area of integration is a quarter circle from 0 to ∏/2 and radius 0 to 5 (the limits of integration). I cannot see how to convert the integrand to polar coordinates. Everything else we have done has had X^2+y^2 in some form in the integrand. We did get a hint that we should integrate w.r.t. theta first. Can someone get me going on this?
     
  2. Heavydoody

    Thread Starter Active Member

    Jul 31, 2009
    140
    11
    Took some huntin' on the www, but x = r cos θ, y = r sin θ. Piece of cake from there.
     
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