Determine the surface integral for the surface S: r(u,v) = (u, v, u^2 +v^2)
with 0 <= u and v <= 1
F(x,y,x) = (y,-x,z)
I assumed =
Calculated N = Ru x Rv = (-2u, -2v, 1)
F(r(u,v)) = (v, -u, u^2+v^2)
Now I get for the intergral (after some calculation):
If it's correct it's an easy integral, but I don't know theboundaries, 0 to for du? and - to 1 for dv?