Chapter 15.6, Problem 15E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the triple integral.

**15**.
*.* where *T* is the solid tetrahedron with vertices (0, 0,0), (2, 0, 0). (0, 2, 0). and (0, 0, 2)

To determine

**To evaluate:** The given triple integral.

Explanation

**Given:**

The function is

The region *T* is the tetrahedron with vertices,

**Calculation:**

From the given conditions, it is observed that the equations of the sides of the tetrahedron will be

Integrate the given integral with respect to *z* and apply the limit of it.

Integrate the given integral with respect to *z* and apply the limit of it.

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