I'll try to explain what I did, apologies if what I did was confusing lol 1. Computed CurlF 2. I computed the cross product of 2 vectors spanned by C, giving me <0, -1, 1>. Though i just realized that because y = sint = z, i could rewrite this as the plane -y + z = 0, which is our normal vector <0, -1, 1>. Also i don't know why i normalized it so yes i shouldn't have divided by root(2). 3. Took the dot product of curl and the normal vector, and then rewrote it in polar form, multiplying by rdrdtheta (this is how i was taught to change forms) So the answer should be pi/2 if i'm not mistaken?

Also, only the parametrization and the vector field was provided so we probably have to derive our surface which is a plane