We have to consider the integral of $$\int_{0}^{1}\int_{0}^{1-x^2} \int_{0}^{1-x}f(x,y,z)dzdydx$$
First we're told to graph the region of integration, so I started that but I'm not exactly sure what I'm doing. I end up with something that looks like a slim triangular slice of a cone, but I don't know if it's correct. Is it?