Double Integrals w/ Polar Coordinates

I am given the following three double integrals for which to find the sum of. The question requires converting to polar coordinates (which is where I am having the most trouble):

First Integral: Integral(from 1 to (1/sqroot(2)))Integral(from x to sqroot(1-(x^2))) of x*y dydx.

Second Integral: Integral(from sqroot(2) to 1)Integral(from x to 0) of x*y dydx.

Third Integral: Integral(from 2 to sqroot(2))Integral(from sqroot(4-(x^2)) to 0) of x*y dydx.

Thanks for any ideas.