Finding volume between y=1-x and y=z²-1 with triple integrals

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killersanta
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Homework Statement


Volume between Y=1-X and Y = Z^2 -1

The Attempt at a Solution



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Sorry, not a good drawer.

0 < y < 1
0< x < SqRoot: 1-y

-1 < y < 0
0 < Z < Sqroot: 1 + y

I'm not even sure if this is right, we just started the triple integrals. Please Help.
 
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The problem is that the plane y= 1- x and the parbolic cylinder [math]y= z^2- 1[/math] are not boundaries for a bounded region.