# 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).

Question

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).