Problem 8
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Find the integral of EQ 1 using integration by parts for n=0 and n=1
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:
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Integrate the first integral (left hand) by parts, taking:
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Giving:
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Integrate the second integral (right hand) by parts, taking: :
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Giving:
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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:
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