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# Carry out the integral numerically to evaluate and A

ISBN: 9780201380279 40

## Solution for problem 9P Chapter B

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

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