Chapter 15.6, Problem 16E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the triple integral.

**16**.
*T* is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 1), (0, 1, 1), and (0, 0, 1)

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 are *x* and

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

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

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