Question

Let R be the interior of the circle 4x2 + 4y2 −4x = 0.
Evaluate double integral sqrt(x^2+y^2)

Answer 1

∫[0,1] ∫[-√(x-x^2),√(x-x^2)] √(x^2+y^2) dy dx

Or, you might find things easier in polar coordinates.