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Problem. 3 : Evaluate the given integral by changing to polar coordinates. If 32 y dA, D where D is the top half of the disk with center the origin and radius 2. 3x y dA = D Problem. 4 : Evaluate the given integral by changing to polar coordinates. sin (22 + y ) dA, R where R is the region in the first quadrant between the circles with center the origin and radii 4 and 7. sin(x2 + y?) dA = ? RProblem. 6 : Use a double integral to find the area of the region inside the circle (x - 5) + y? = 25 and outside the circle x + y? = 25. area = Problem. 7: Use polar coordinates to find the volume of the solid that lies under the paraboloid z = x2 + y and above the disk a + y'