Answer: Areas of regions Find the area of the following

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Problem 41E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 41E

Areas of regions

Find the area of the following regions. In each case, graph the relevant functions and show the region in question.

The legion bounded entirely by the curve  and the x-axis.

Step-by-Step Solution:

Problem 41E

Find the area of the following regions. In each case, graph the relevant functions and show the region in question.

The region bounded entirely by the curve  and the x-axis.Solution:-Step 1</p>

The graph of the function is:

The function  intersects x-axis at the points when the numerator of the fraction is zero.Meaning when        

To find the roots of this quadratic equation we see

Roots

As we see from the figure the region bounded by and x-axis is from the point .

To find the area of the bounded region, we integrate from .

       

          =   ...

Step 2 of 3

Chapter 7.4, Problem 41E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Answer: Areas of regions Find the area of the following

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