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

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

Concept: Evaluation of Definite Integrals by Substitution
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