# Use Stokes' Theorem to evaluate ∫CF⋅dr. In each case C is oriented counterclockwise as viewed from above F(x,y,z)=4i + 2(x+yz)j + 4(xy−sqrt(z))k Where C is the boundary of the part of the plane 3x+6y+z=6 in the first octant

Question

Use Stokes' Theorem to evaluate ∫CF⋅dr. In each case C is oriented counterclockwise as viewed from above

F(x,y,z)=4i + 2(x+yz)j + 4(xy−sqrt(z))k

Where C is the boundary of the part of the plane 3x+6y+z=6 in the first octant