1.
Int(xy)dA(x^2..1)=
xy-xy(x^2+y^2) ->
Int(xy-xy(x^2+y^2))dA(0..1)
-1/2y^3+1/4y

2.
Int(e^(x^2+y^2))dx(0..sqrt(1-y^2))=
Int(Int(e^r^2r)dr(0..1))dtheta(0..pi/2)
=pi/4(e-1)