Chapter 15.8, Problem 48E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Show that

*e ^{-}*(

To determine

**To Show:** The value of the integral is equal to

Explanation

**Formula used:**

If
*E* given by

If
*z* then,

The spherical coordinates

**Given:**

The function is

**Calculation:**

Substitute

Since triple integral is given, the region lies in the three dimensional space. Hence,

Apply the equation (2) to separate the integrals and integrate it

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