Question

Evaluate the triple integral $\iiint_B xyz^2 \, dV$, where $B$ is the rectangular box $B = \{(x, y, z) \mid 0 \le x \le 1, -1 \le y \le 5, 0 \le z \le 2\}$, integrating first with respect to $y$, then $z$, and then $x$.

Name: evaluate the triple integral iiintb xyz2 dv where b is the rectangular box b x y z mid 0 le x le 1 1 le y le 5 0 le z le 2 integrating first with respect to y then z and then x 63323
Uploaded: 2022-02-23T02:09:10-08:00
Duration: 1 min 8 s
Channel: Raj Bala
Description: evaluate the triple integral iiintb xyz2 dv where b is the rectangular box b x y z mid 0 le x le 1 1 le y le 5 0 le z le 2 integrating first with respect to y then z and then x 63323

          Evaluate the triple integral $\iiint_B xyz^2 \, dV$, where $B$ is the rectangular box
$B = \{(x, y, z) \mid 0 \le x \le 1, -1 \le y \le 5, 0 \le z \le 2\}$,
integrating first with respect to $y$, then $z$, and then $x$.

evaluate the triple integral iiintb xyz2 dv where b is the rectangular box b x y z mid 0 le x le 1 1 le y le 5 0 le z le 2 integrating first with respect to y then z and then x 63323

Added by Nicholas G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Raj Bala

02/23/2022

Step 1

We are to integrate first with respect to $y$, then $z$, and then $x$. Thus, we have $$ \iiint_B xyz^2 \, dV = \int_0^1 \int_0^2 \int_{-1}^5 xyz^2 \, dy \, dz \, dx $$ Show more…

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Evaluate the triple integral $\iiint_B xyz^2 \, dV$, where $B$ is the rectangular box $B = \{(x, y, z) \mid 0 \le x \le 1, -1 \le y \le 5, 0 \le z \le 2\}$, integrating first with respect to $y$, then $z$, and then $x$.