Question

The finite region bounded by the planes z = x, x + z = 8, z = y, y = 8, and z = 0 sketch the region in R3 write the 6 order of integration. No need to evaluate. clear writing please

Answer 1

The graph of the planes

$$z = x, x + z = 8, z = y, y = 8, \text{ and } z = 0$$

in $\mathbb{R}^3$ is shown below

The order of the integration is shown thus:

$$V = \int^{y}_{z=0} \int^{8}_{y=z}\int^{8-z}_{x=z} dxdydz$$