University of Florida/Egm4313/S12.team14.savardi

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Problem 8


Given[edit]

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Find[edit]

Find[edit]

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

Solution[edit]

For n=0
For n=1

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


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This gives two separate integrals:

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

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Giving:

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

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Giving:


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

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Since u=x+1

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Giving the final answer of: