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University of Florida/Egm4313/S12.team14.savardi

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Problem 8


Given

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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: