$\displaystyle \int \int \int xy^2z^3 \,dx \,dy \,dz$ , where D is the solid in R3 bounded by the surface z = xy

and the planes x = y, x = 1, and z = 0.

I couldn't figure out the right limit.

but I tried, the inner one is from z=0 to z=xy

the middle one is from y=1 to y

the outter one is from 0 to 1

am i right?

if not , can anyone explain to me?