F(x,y,z)=(yz+2y+3z)i
+(xz+2x+4z)j+(xy+3x+4y)k
c:x+y+z=1, cylinder
x^2+y^2=1, oriented counter
clockwise ->
Int(Int(curlF.S))(S)=
Int(F.dr)(dS)
curlF=(1+2y)k
Int(Int(1+2y/curl(F)))dA)(D)
=Int(Int((1+2sintheta(r))rdr))
(0..2pi)(0..1)
=pi=pi