Double Integral Using Polar Coordinates

Heavydoody

Joined Jul 31, 2009
140
"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?

Heavydoody

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