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Find triple integral of (xy+z) dxdydz over region pyramid D bounded by (0,0,0), (0,1,0),(1,0,0) and (0,0,1). I got 3/20 but the book's answer is 1/20. I suspect that my dxdy are wrong, since I consider dx in terms of xy plane and dy in terms of yz plane. Am I correct?
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