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Question

If In=(ln x)n dxthenIn+nIn1


A

(ln x)nx

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B

x (ln x)n1

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C

x (ln x)n

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D

None of these

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Solution

The correct option is C

x (ln x)n


In=x(ln x)nx(n)(ln x)n1xdx
=x(ln x)nnI(n1)
In+nIn1=x(ln x)n


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