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Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter B - Problem 3p
Get Full Access to An Introduction To Thermal Physics - 1 Edition - Chapter B - Problem 3p

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The integral of is easier to evaluate when n is odd.(a)

ISBN: 9780201380279 40

Solution for problem 3P Chapter B

An Introduction to Thermal Physics | 1st Edition

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Problem 3P

The integral of is easier to evaluate when n is odd.

(a) Evaluate(No computation allowed!)

(b) Evaluate the indefinite integral (i.e., the antiderivative) of  using a simple substitution.

(c) Evaluate

(d) Differentiate the previous result to evaluate

Step-by-Step Solution:
Step 1 of 3

a)

Where the integrand can be written as,

Now the integral will be,

This is the integral value.

b)

The same integral can be done by substitution method also.

Let ,

Now the integral will be,

c)

As,

d)

We know that,

Step 2 of 3

Step 3 of 3

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