Chapter 15, Problem 53RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Rewrite the integral
*dx dy dz*.

To determine

**To rewrite:** The given integral in a mentioned order.

Explanation

**Given:**

The iterated integral,

**Calculation:**

Since in the required order *dx* is coming first, it is necessary to project the graph of the function into the *yz-*plane. The equation of *x* becomes,

And

Since the projection is in the *yz-*plane, substitute

Thus, from the above equations, it is observed that *x* varies from *y* varies from 0 to *z* varies from 0 to 1

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