My problem says find the surface area of the part of the surface
z=y^2-x^2 that is inside the cylinder x^2+y^2=2
So im thinking of polar coordinates
saying f(x,y)=y^2-x^2
and fx=-2x, fy=2y
and the area=
double integral of (sqrt(1+4x^2+4y^2))
but my problem is how to go about finding the limits
Im not sure exactly, can i get direction so i can learn