Looking for thevolumeof 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?

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