# Approach for finding the limits and intersections of a function given by triple integral

Hello i have a problem finding the intersection of a function when i am given a function in 3D space. I can easily find a intersection of two functions when i have equations with $$x$$ and $$y$$ only. But when i have also Z i don’t know in which order to intersect the equations and because that i have trouble solving $$triple$$ $$integrals$$ without spherical coordinates so i am asking for your help. I have a example with easy equations for the domain but i want to understand the problem in general. So i have this integral$$\iiint_Dxy^2z^3dxdydz$$ with Domain : $$V=(z=xy,y=x,x=1,z=0)$$ so from first look i thought it will be easy to find the limits i have intersect $$z=xy$$ with $$y=x$$ so i get $$z=y^2$$ so the only other think i have is that $$x =1$$ and $$y=x$$ if i try to express x from the equations i get wierd results. So i think $$y=x$$ is the upper limit for $$y$$ but i can’t find the lower limit for y also i cannot even one limit for x. I will be thankfull if someone can help me with this.