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let-D-x-y-z-R-2-0-lt-z-lt-1-and-x-2-y-2-lt-z-2-calculate-D-xyzdxdydz-




Question Number 36194 by prof Abdo imad last updated on 30/May/18
let D ={(x,y,z)∈R^2 / 0<z<1 and x^2  +y^2  <z^2 }  calculate ∫∫_D xyzdxdydz
$${let}\:{D}\:=\left\{\left({x},{y},{z}\right)\in{R}^{\mathrm{2}} /\:\mathrm{0}<{z}<\mathrm{1}\:{and}\:{x}^{\mathrm{2}} \:+{y}^{\mathrm{2}} \:<{z}^{\mathrm{2}} \right\} \\ $$$${calculate}\:\int\int_{{D}} {xyzdxdydz} \\ $$

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