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Solution: Preliminary steps The following integrals require

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 51E 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 51E

Problem 51E

Preliminary steps

The following integrals require a preliminary step such as long division or a change of variables before using partial fractions. Evaluate these integrals.

Step-by-Step Solution:
Step 1 of 3

Problem 51E

Answer

We have to evaluate the integral

Divide   we get,

Quotient

Therefore

                               …(1)

    Now

 Take a partial fraction of  

   After simplifying we get

                 …(2)

Therefore

                 

Therefore

 

                 

Step 2 of 3

Chapter 7.4, Problem 51E 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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Solution: Preliminary steps The following integrals require