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$If \int \frac{\log_{e} (\log_{e} x)}{x (\log_{e} x)} d x = f (x) and f (e) = 0 then f (e^{e}) = \dots \dots$

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Correct option is C

Put loge⁡loge⁡x=t then 1xloge⁡xdx=dtf(x)=∫tdt=t22+c=12loge⁡loge⁡x2+cf(e)=0⇒c=0∴fee=12

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If ∫loge⁡loge⁡xxloge⁡xdx=f(x) and f(e)=0 then fee=……

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$If \int \frac{\log_{e} (\log_{e} x)}{x (\log_{e} x)} d x = f (x) and f (e) = 0 then f (e^{e}) = \dots \dots$