- Question:
- Find the integral
of
*x*d*x*∧ d*y*+*y*d*y*∧ d*z*on the triangle in (*x*,*y*,*z*)-space with vertices (0, 0, 1), (0, 1, 0), and (1, 0, 0), oriented clockwise when viewed from the origin (in a right-handed coordinate system). - Answer:
- 1/3 (detailed solution).

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