Hey, really stuck on this question.

Integrate

$\displaystyle f(x,y,z)= \sqrt{3x^2+3y^2+z+1}$

over the surface given by the graph $\displaystyle z=g(x,y)=x^2+y^2$ over the region $\displaystyle 1<x^2+y^2<4$.

I did some working but it got far too complicated for the integral.

Any help would be very nice.

Thanks