I have a study guide with a couple problems like this, but I'll just post one and try to go from there. It isn't the actual integration that's giving me trouble but just the setting up of the integral.
"Find the area of the following surface: the part of the paraboloid x=y^2+z^2 that lies inside the cylinder y^2+z^2=9"
So i understand i have to parameterize somehow, and i understand the the surface area is the double integral of the magnitude of the cross product of the two partial derivatives of that parameterization. But I don't know how to set it up.