Chapter 15.2, Problem 62E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Find the averge value of *f* over the region *D.*

**62.** *f*(*x*, *y*) = *x* sin *y, D* is enclosed by the curves *y =* 0, *y = x*^{2}, and *x* = 1

To determine

**To find:** The average value of given function over the region *D*.

Explanation

**Formula used:**

The average value of given function over the region *D* is,

*D*.

**Given:**

The function is

The region *D* is enclosed by the curves

**Calculation:**

The area of the region *D* is,

The average value of given function is,

Apply the limit value of *y*,

Integrate with respect to *x*

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