Solved: Simple linear factors Evaluate the following

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

Problem 10E 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 10E

Simple linear factors 

Evaluate the following integrals.

Step-by-Step Solution:

Problem 10E

Step 1</p>

In this problem we have to evaluate

Let us solve this by using Partial Fractions.

Let us first see about Partial Fractions.

When a proper rational expression is decomposed into a sum of two or more rational expressions, it is known as Partial Fractions.

Consider … (1)

Taking LCM in the right hand side we get,

        

Since the denominators of both sides are same, we can equate the numerator.

Put we get

   

 

Put we get

   

 

Step 2</p>

Thus (1) becomes,

 

Thus

                         

                      … (2)

Take  

Differentiating we get

Thus (2) becomes

                      .. (3)

Step 3 of 3

Chapter 7.4, Problem 10E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567. Since the solution to 10E from 7.4 chapter was answered, more than 252 students have viewed the full step-by-step answer. The answer to “Simple linear factors Evaluate the following integrals.” is broken down into a number of easy to follow steps, and 7 words. This full solution covers the following key subjects: evaluate, factors, Integrals, Linear, simple. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 10E from chapter: 7.4 was answered by Sieva Kozinsky, our top Calculus solution expert on 03/03/17, 03:45PM.

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