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Problem 19 Easy Difficulty

Evaluate
\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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{'transcript': "here in this problem. We're in a huddle together, so we get I said. Teen Plus three is 20 here. The 256 plus one is seven nine, the team, and that's our final answer."}

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