in order to solve this i thought of using the stokes theorem because the normal to the plane is \[12(0,1,1)\] thus giving me ∮Fdr=∫∫curl(F)∗n∗ds=∫∫2/sqrt2∗sin(xyz) i tried to parametries x y and z x= rcos(t)+1 y=rsin(t)+2 z=1/2-rsin(t) but ...