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Use Stokes' Theorem to Evaluate Cxydx+yzdy+zxdz\int _ { C } x y d x + y z d y + z x d z

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Use Stokes' Theorem to evaluate Cxydx+yzdy+zxdz\int _ { C } x y d x + y z d y + z x d z , where C is the triangle with vertices (1,0,0),(0,1,0)( 1,0,0 ) , ( 0,1,0 ) , and (0,0,1)( 0,0,1 ) , oriented counterclockwise as viewed from above.

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