Looking for the volume of a solid bounded by the plane z=0 and three parabolic cylinders:
z+x=1
x+y=1
x-y=-1


Does my triple integral look ok?

\int\nolimits_{-1}^{1} {dy}\int\limits_{(y^{2}-1)}^{(1-y^{2})} {dx}\int\nolimits_{0}^{(1-x^{2})} {dz}