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Challenge Show that with the change of variables , the

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

Solution for problem 82AE 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 82AE

Problem 82AE

Challenge Show that with the change of variables , the integral  can be converted to an integral amenable to partial fractions. Evaluate .

Step-by-Step Solution:

Problem 82AE

Challenge Show that with the change of variables , the integral  can be converted to an integral amenable to partial fractions. Evaluate  .

Solution

Step 1

In this problem we have to check whether with the change of variables , the integral  can be converted to an integral amenable to partial fractions or not. And then we have to evaluate

Consider  

Take

Differentiating we get 

Thus which is an integral amenable to partial fractions.

Hence we have showed that with the change of variables , the integral  can be converted to an integral amenable to partial fractions.

Step 2 of 5

Chapter 7.4, Problem 82AE is Solved
Step 3 of 5

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

The answer to “Challenge Show that with the change of variables , the integral can be converted to an integral amenable to partial fractions. Evaluate .” is broken down into a number of easy to follow steps, and 23 words. Since the solution to 82AE from 7.4 chapter was answered, more than 248 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 82AE from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: integral, fractions, change, converted, evaluate. This expansive textbook survival guide covers 112 chapters, and 5248 solutions.

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Challenge Show that with the change of variables , the