Chapter 15, Problem 11P

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

If *f* is continuous, show that

To determine

**To show:**

Explanation

**Given:**

The region *E* is,

**Calculation:**

In the right hand side of the given statement the integral is present over *t.* So, it is necessary to rewrite the equation in left hand side in the order of *z,y* and *t.* For that project the given equation into the *yt-*plane. That yields, *z* varies from *t* to *y, y* varies from *t* to *x* and *t* varies from 0 to *x.* Hence, the equation becomes,

Now integrate this with respect to *z* and *y* and apply the limit.

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