Use Stokes' Theorem to evaluate integral F · dr?

F(x,y,z) = i+(x+yz)j+(xy-squareroot(z)), C is the boundary of the part of the plane 3x+2y+z=1.

I know integral F dot dr = double integral curl F dot ds. I found the curl of F to be -j+k. I don't know how to set that up in the integral or what ds is. Can somebody help please??

Update:

and c is in the first octant

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