Find the area of the part of z^2=xy that lies inside the hemisphere x^2+y^2+z^2=1, z>0
da= double integral sqrt(1+(dz/dx)^2+(dz/dy)^2))dxdy
The Attempt at a Solution
=> double integral (x+y)(sqrt(2xy)^-1/5) dxdy
Now I'm guessing that a change of coordinates will be useful here. I was thinking spherical coordinates, due to the presence of a sphere. But I'm not too sure?
many thanks :)