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\begin{equation}

\begin{array}{c} {\iiint|x y z| d x d y d z} \\ {\text { over the solid ellipsoid }} \\ {\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}} \leq 1} \\ {\text { (Hint: Let } x=a u, y=b v, \text { and } z=c w . \text { Then integrate over an }} \\ {\text { appropriate region in } u v w \text { -space.) }}\end{array}

\end{equation}

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