=∫ ^(1)_(0) [blue][b](x^2*(y^2/2)|^(y=2-x)_(y=x)[/b][/blue]dx=
=∫ ^(1)_(0) [blue][b](x^2*((2-x)^2/2)-x^2*(x^2/2))[/b][/blue]dx=
=∫ ^(1)_(0)(x^2*(4-4x+x^2)/2 -x^4/2)dx=
=∫ ^(1)_(0)(2x^2-2x^3)dx=(2(x^3/3)-2(x^4/4))|^(1)_(0)=
=(2/3)-(2/4)=(2/3)-(1/2)=[b]1/6[/b]