Can anyone help. I think I set the integral up properly but I'm not sure I'm taking the actual integral correctly because I keep getting really complicated numbers.
Find the mass of the solid region bounded by the parabolic surfaces z=16-2x^2-2y^2 and z=2x^2+2y^2 if the density of the solid is sqrt(x^2+y^2)
I set it up as follows;
integral from x=-2 to 2 , integral from y= -sqrt(4-x^2) to sqrt(4-x^2) , integral from z= 2x^2+2y^2 to z=16-2x^2-2y^2 of (sqrt(x^2+y^2)) dzdydx
(sorry I don't know the symbols so that looks awful)
Please Help me out gettingto the end.