Nur für Calculus Liebhaber

Integrate the function , $f(x,y,z) = xy$ over the volume enclose by the planes , $z=x+y$ and $z=0$ and between the surfaces , $y=x^2$ and $x=y^2$ .

Note The answer is of the form , $\frac{A}{B}$ such that $gcd(A,B)=1$ , Submit your answer as $A+B$ . .