I need to find the volume of the region determined by:
First octant, $z+y=1$ and $z+x=1$.
My response is the result of the integrals:
$\int_0^1 \int_0^x \int_0^{1-y} dzdydx+\int_0^1\int_0^x \int_0^{1-x}dzdydx$
Is this correct? Thank you for your help.