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Solution: Nonrepeated Linear FactorsExpress the integrand as

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass ISBN: 9780321884077 57

Solution for problem 12E Chapter 8.5

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 12E

Problem 12E

Nonrepeated Linear Factors

Express the integrand as a sum of partial fractions and evaluate the integrals

Step-by-Step Solution:

Solution

Step 1 of 3

In this problem, we have to express the integrand as a sum of partial fractions and evaluate the integral.

.


Sep 2 of 3

The given integrand is

Now, we have to use the method of partial fraction

To find  substitute

To find substitute

We get


Step 3 of 3

Consider

……..[since ]

Hence the required solution is .


Step 2 of 3

Chapter 8.5, Problem 12E is Solved
Step 3 of 3

Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

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Solution: Nonrepeated Linear FactorsExpress the integrand as