Set up the triple integral to find the volume between the surfaces z=1, z=4, y=2-x², and y=x².

Ok, so clearly the limits for z are 1 to 4, but I am not sure what the limits would be for y and x. Can someone help with this please? Thank you!

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- Jul 13th 2010, 05:27 PMsteph3824Need some help setting up a triple integral
Set up the triple integral to find the volume between the surfaces z=1, z=4, y=2-x², and y=x².

Ok, so clearly the limits for z are 1 to 4, but I am not sure what the limits would be for y and x. Can someone help with this please? Thank you! - Jul 13th 2010, 07:05 PMAckbeet
So, you've got yourself a cylindrical shape (i.e., one variable doesn't really help to define the shape - in this case, z). How do the two curves y=2-x², and y=x² look? Do they enclose an area? If so, where are the intersection points? That might give you some direction.