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Fractional powers Use the indicated | Ch 7.4 - 60E

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

Solution for problem 60E 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 60E

Problem 60E

Fractional powers

Use the indicated substitution to convert the given integral to an integral of a rational function. Evaluate the resulting integral.

Step-by-Step Solution:

Problem 60E

Fractional powers Use the indicated substitution to convert the given integral to an integral of a rational function. Evaluate the resulting integral.


Solution:-
Step 1
Using the indicated substitution , and differentiating this we get  

Substituting and , the integral becomes

   =
  =

  =

  =  
  (Multiplying and dividing by 2)

   =  
  =  

  =  

Since

Putting
in the final integral, we get

Thus, the value of the integral is

Step 2 of 1

Chapter 7.4, Problem 60E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Fractional powers Use the indicated | Ch 7.4 - 60E