MvCalc56

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Mass=\int _{0}^{1}\int _{0}^{1}\int _{0}^{1}xyzdxdydz\,

=\int _{0}^{1}\int _{0}^{1}[{\frac  {x^{2}}{2}}yz]_{0}^{1}dydz\,

={\frac  {1}{2}}\int _{0}^{1}[z{\frac  {y^{2}}{2}}]_{0}^{1}dz\,

={\frac  {1}{4}}\int _{0}^{1}zdz\,

={\frac  {1}{4}}[{\frac  {z^{2}}{2}}]_{0}^{1}={\frac  {1}{8}}\,


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