So I have to compute the triple integral of this: $\int\int\int \frac{1}{1+x^2+y^2+z^2}$ and it says the equation of the sphere is $ x^2 + y^2 + z^2 = z$ which is just an elongated sphere running along the z-axis. But I don't understand how to setup the triple integral, the z on the ride side is totally throwing me off.
1) What would the bounds for $\rho$ be?
2) Why are the bounds for $\phi$ always 0 to $\frac{\pi}{2}$?
Any help would be appreciated, thanks.