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Find ∫ ∫ ∫ E z d V , where E is the solid tetrahedron with...

Find ∫ ∫ ∫ E z d V , where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,6,0), and (0,0,2)

Can you show me the steps and also check to prove the answer is correct

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