I found the equation of the boundary circle by setting z to 4 in the paraboloid.
Then I did some work to get polar coords:
Then I set up my integral as such
edit: I used the wrong integrand. It should be 4r-4r^3.
I found the equation of the boundary circle by setting z to 4 in the paraboloid.
Then I did some work to get polar coords:
Then I set up my integral as such
edit: I used the wrong integrand. It should be 4r-4r^3.