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Consider the vector field A - F(:1:,y,z) = yz + ($2 + y2)3 + 62123, and let C be the curve illustrated below consisting of

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Consider the vector field A - F(:1:,y,z) = yz + ($2 + y2)3 + 62123, and let C be the curve illustrated below consisting of the boundary of the triangular region with vertices at the points (1,1,2), (1,0,2) and (0,1,2) oriented counterclockwise when viewed from above. Compute the line integral 351341? 0 using either a direct computation, or using Stokes' theorem. Note that one of these two methods will yield a much simpler computation than the other one, so choose the method carefully.

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