Use Stokes' Theorem to evaluate 

F · dr

 where C is oriented counterclockwise as viewed from above.

F(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k,

C is the triangle with vertices 
(3, 0, 0), (0, 3, 0), and (0, 0, 3).

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Advanced Math