Chapter 15.6, Problem 7E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Evaluate the iterated integral.

**7**.

To determine

**To evaluate:** The iterated integral.

Explanation

**Given:**

The function is

The region is

**Formula used:**

If

**Calculation:**

The given integral is,

Integrate the given integral with respect to *y* and apply the limit.

Use the equation (1),

By substitution method, let

Then, the derivative of *u* is

Thus, there is a change in the limit values of the integration such as,

If

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