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Write a value of int(logx^n)/x\ dx...

Write a value of `int(logx^n)/x\ dx`

Text Solution

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Let `log x=t`
`(1)/(x)dx=dt`
`=int(logx^n)/x\ dx`
`=nint tdt`
`=n(t^2)/(2)+C`
`=n((log x)^2)/(2)+C`
`(Answer)`
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