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Evaluate: ∫1/(x logx log(logx))dx - Mathematics and Statistics

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Question

Evaluate: `int1/(xlogxlog(logx))dx`

Solution

`Let I= int1/(x.logxlog(logx))dx`

Put log (log x) = t
Differentiating w.r.t. x, we get

`1/logx.1/xdx=dt`

`I=int1/tdt=log|t|+c`

`I=log|log(logx)|+c`

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2014-2015 (October)

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