Chapter 15, Problem 30RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Calculate the value of the multiple integral.

**30**.
*T* is the solid tetrahedron with vertices (0, 0,0), (

To determine

**To calculate:** 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 planes present in the sides of the tetrahedron is given by,
*x* varies from 0 to
*y* varies from 0 to
*z* varies from 0 to
*z* and apply the limit.

Compute the integral with respect to *y* and apply the limit.

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