Chapter 15, Problem 25RE

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Calculate the value of the multiple integral.

**25.**
*D* is the region in the first quadrant bounded by the parabolas *x* = *y*^{2} and *x* = 8 − *y*^{2}

To determine

**To calculate:** The value of given double integral over the region *R*.

Explanation

**Given:**

The region *D* lies in the first quadrant bounded by the parabolas

**Calculation:**

From the given conditions, it is observed *x* varies from
*y* varies from 0 to 2.

First, compute the integral with respect to *x*.

Apply the limit value for *x*,

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