Chapter 6.1, Problem 49E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Area of a Region** In Exercises 47-52, find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your results.

To determine

**To calculate:** The area of the region bounded by graphs of the equations

Explanation

**Given Information:**

The provided equations are

**Formula used:**

Integration by parts.

When *u* and *v* is assumed to be the differentiable functions of *x* then,

**Calculation:**

Consider the equation,

Here the lower limit is

Let

Apply integral on both sides of the above equation as,

Thus,

Then differentiate both sides of the equation

Now apply integration by parts formula.

Substitute

Thus,

Sect-6.1 P-1CPSect-6.1 P-2CPSect-6.1 P-3CPSect-6.1 P-4CPSect-6.1 P-5CPSect-6.1 P-6CPSect-6.1 P-7CPSect-6.1 P-1SWUSect-6.1 P-2SWUSect-6.1 P-3SWU

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