Find the volume of the region.

The region between the cylinder z=y^2 and the xy-plane that is bounded by the planes x=0,x=1,y=-1,y=1

When I graph this it looks like a halfpipe(skateboarding) extending in the positive x direction.

Could someone please help me determine the limits of integration.

my attempt:

int 0..1 int x^2+1.. x^2-1 int 0.. y^2 dz dy dx