How can I solve this:
$$\iiint\limits_B xyz^2\,dV$$
where $B$ is the cuboid bounded by the regions $0\leq x\leq 1$, $-1\leq y\leq 2$, and $0\leq z\leq 3$?
No idea friends!
2026-04-07 14:39:42.1775572782
Triple integration for finding volume of cuboid
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If we let $\,dV=\,dx\,dy\,dz$, note that $$\begin{aligned}\iiint\limits_B xyz^2\,dV &= \int_0^3\int_{-1}^2\int_0^1xyz^2\,dx\,dy\,dz\\ &= \left(\int_0^1x\,dx\right)\left(\int_{-1}^2y\,dy\right)\left(\int_0^3z^2\,dz\right) \\ &= \ldots\end{aligned} $$ I hope you can take things from here!