## Volume of Solid

Looking for the volume of a solid bounded by the plane z=0 and three parabolic cylinders:
z+x²=1
x+y²=1
x-y²=-1

Does my triple integral look ok?

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