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Carry out the integral numerically to evaluate and A

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 9P Chapter B

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 9P

Carry out the integral numerically to evaluate  and  A useful identity whose proof is beyond the scope of this book is

Check this formula numerically for n = 1/ 3.

Integral:

Step-by-Step Solution:

To evaluate

Step 1:

Given formula

 =         

Here  =

Therefore

 = -1

 =

Step 2:

        This will give

         =

        Calculating numerically,  the result of the given integration is 2.6789

         = 2.679

To evaluate

Step 1:

Given formula

 =         

Here  =

Therefore

 = -1

 =

Step 2:

        This will give

         =

        Calculating numerically,  the result of the above integration is 1.3541

         = 1.354

To Verify The Results

Step 1:

        Given formula

         =

        For n = the above equation becomes

         =  

         = 3.628

Step 2 of 2

Chapter B, Problem 9P is Solved
Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

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Carry out the integral numerically to evaluate and A

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