The domain D is the intersection of two disks x^2 +y^2 = 1 and x^2 + (y-1)^2 =1
use polar coordinates to find the double integral ∫∫(x)dA
x = rcosθ y = rsinθ r^2 = x^2 + y^2
The Attempt at a Solution
I have drawn the circles. also i set the two circle equations to equal each other.
x^2 +y^2 = x^2 + (y-1)^2
which yielded points of intersection.. [-√(3/4), (1/2)] and [√(3/4),(1/2)]
however i am unsure how to find my intervals of θ and I'm not sure of my intervals of r. I think it may be 0≤r≤1.
any help would be appreciated, even just to put me on the right track.. I have been looking over this problem for 45 minutes now