积分区域为正方形：
∫∫(x^3+3yx^2+y^3)dxdy
=∫∫x^3dxdy+∫∫3yx^2dxdy+∫∫y^3dxdy
=∫x^3dx∫dy+∫3x^2dx∫ydy+∫dx∫y^3dy
=1/4+1/2+1/4
=1
∫∫(x^3+3yx^2+y^3)dxdy
=∫∫x^3dxdy+∫∫3yx^2dxdy+∫∫y^3dxdy
=∫x^3dx∫dy+∫3x^2dx∫ydy+∫dx∫y^3dy
=1/4+1/2+1/4
=1
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