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Evaluate: int(log(logx)/x\ dx...

Evaluate: `int(log(logx)/x\ dx`

Text Solution

Verified by Experts

We have given
`int(log(logx)/x\ dx`
`I=int(log(logx)/x\ dx`
Let `logx=t`
`=int1.logtdt`
`=logt×t−int 1/txxtxxdt`
`=tlogt=t+c`
`=logxlog(logx)−logx+c`
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