I have the triple integral $\iiint x dV$ where $E$ is the solid bounded by surfaces $y=x^2, x=y^2, z+x^2+y^2 = 2$, and the $xy$-plane.
What will be the cylindrical bounds for this integral? I'm pretty sure this is broken down to $\iiint(\text{from}\ z=0 \ \text{to}\ z=-x^2-y^2+2) x dzdA$, but I'm having trouble figuring out what the graph of the solid is and thus what the bounds will be.
If someone could edit my question to have the $x^2, y^2$ be the fancy type notation instead, I'd love to learn how to do this for future questions. Thanks!