University of Florida/Egm4313/S12.team14.savardi

Problem 8


Given

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Find

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Find

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Find the integral of EQ 1 using integration by parts for n=0 and n=1

Solution

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For n=0
For n=1

 

Take u=(x+1) and du=dx

 

This gives two separate integrals:

 

 

Integrate the first integral (left hand) by parts, taking:

 

Giving:

 

 

Integrate the second integral (right hand) by parts, taking: :

 

Giving:

 

 


Substituting EQ.3 and EQ.4 into EQ.2 and integrating the remaining integrals gives:

 

Since u=x+1

 

Giving the final answer of: