even just using (per Allan Cuz's notes): and you still end up with a weird result:
I am just totally lost by the integral here. I am sure it will be a triple integral, but I have no idea what to do.
Hey guys. I'm stuck on a problem for my calc class.
Let D be the region bounded by the paraboloids and . Find the volume of the region D using an iterated integral.
I have been trying all night to come up with the limits of integration and the general set up, and I am at a loss.
So far I have tried to solve by subbing z for itself:
but this does not leave a clean answer to transform into spherical.
you're left with:
, and I can't see any way to get this into a nice format.
We have a test coming up and my professor said a problem like this would be on it. Any help would be greatly appreciated.