Hello,

Having some problems on how to graph and how to set up the integral to find the volume in this question.

It asks sketch the solid bounded by the parabolic cylinders z + x^2 = 1,

x - y^2 = -1, x + y^2 = 1, and the plane z = 0.

It also aks to find the volume of this solid.

I know how to manipulate the equations:

z = 1 - x^2, which is the function we will integrate.

z = 0 = 1 - x^2, therefore x = +1 and -1, are these the limits when integrating with respect to dx?

Also, y = (1-x)^1/2 and y = (1+x0^1/2, are these the limits for integrating with respect to dy?

Thank you for any help.