Shouldn't it be
?
and the integration limit between 0 and
Find the area of the portion of the paraboloid which is inside the cylinder .
My attempt : I notice that to be more friendly, I could change the problem as "the paraboloid and the cylinder ", but I won't do that.
So .
The 2 surfaces cross each other when . So when .
I converted the variables into polar coordinates, .
Is that good?