Chapter 6.4, Problem 23E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Area of a Region** In Exercises 21-26, find the area of the unbounded shaded region.

To determine

**To calculate:** The area of shaded part for the provide graph:

Explanation

**Given Information:**

The expression is provided as:

**Formula used:**

From definition of improper integral.

Also, the expression for the integration of a polynomial is as follows:

Here,

**Calculation:**

Consider the provided expression:

For deciding the limit of integral, consider the provided graph,

From the provided graph, lower limit is

Use the property of improper integral

Integrate the integrand by substation method as:

Assume

Differentiate as:

Now, substitute the values and integrate as:

Again, substitute the value of

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