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Numerade Educator



Problem 20 Easy Difficulty

Let $D$ be the region in $x y z$ -space defined by the inequalities
$$1 \leq x \leq 2, \quad 0 \leq x y \leq 2, \quad 0 \leq z \leq 1$$
$$\iiint_{D}\left(x^{2} y+3 x y z\right) d x d y d z$$
by applying the transformation
$$u=x, \quad v=x y, \quad w=3 z$$
and integrating over an appropriate region $G$ in $u v w$ -space.


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Video Transcript

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