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Preliminary steps The following integrals | Ch 7.4 - 56E

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

Solution for problem 56E 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 56E

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

Solution:-

Step1

Apply integral substitution

 ,    u=g(x)

u=   du=udx

= du

Step2

Apply integral substitution

 ,    u=g(x)

v=   dv=

                   =

                    =

                    =

                    =

                    =)

                     = )

                    =-2(arctanh(v)-v))

                    =-2(arctanh()-))

                    =2(- arctanh())

Therefore,

  =2(- arctanh())+C

 

                     

     

Step 2 of 3

Chapter 7.4, Problem 56E 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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Preliminary steps The following integrals | Ch 7.4 - 56E