Triple Integral Over Tetrahedron - Maple Help

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Iterated Integral over a Tetrahedron

 Description Integrate a function over a tetrahedron.

Enter the function as an expression.

 >
 ${x}{}{y}{}{z}$ (1)

Specify the vertices of the tetrahedron, and then integrate the function over the tetrahedron.

 > $\mathrm{VectorCalculus}\left[\mathrm{int}\right]\left(,\left[{x}{,}{y}{,}{z}\right]=\mathrm{Tetrahedron}\left(⟨{0}{,}{0}{,}{0}⟩{,}⟨{1}{,}{4}{,}{0}⟩{,}⟨{4}{,}{2}{,}{0}⟩{,}⟨{2}{,}{2}{,}{3}⟩\right)\right)$
 $\frac{{77}}{{4}}$ (2)
 Commands Used