[Solution] Evaluate the surface integral ∫_D(x+y) d S where D is the part of the plane x+2 y+3 z=6 above the triangle in the xy-plane with vertices
Question: Evaluate the surface integral \(\iint_{D}(x+y) \mathrm{d} S\) where \(D\) is the part of the plane \(x+2 y+3 z=6\) above the triangle in the xy-plane with vertices at \((0,0,0),(1,0,0)\) and \((1,1,0)\).
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