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Question Number 44639 by arvinddayama01@gmail.com last updated on 02/Oct/18

∫(1/(1+(log x)^2 ))dx=?

$$\int\frac{\mathrm{1}}{\mathrm{1}+\left(\boldsymbol{\mathrm{log}}\:\boldsymbol{\mathrm{x}}\right)^{\mathrm{2}} }\boldsymbol{\mathrm{dx}}=? \\ $$$$ \\ $$

Commented by tanmay.chaudhury50@gmail.com last updated on 02/Oct/18

t=lnx  x=e^(t  )    dx=e^t   dt  ∫((e^t dt)/(1+t^2 ))   is it intregable ...

$${t}={lnx}\:\:{x}={e}^{{t}\:\:} \:\:\:{dx}={e}^{{t}} \:\:{dt} \\ $$$$\int\frac{{e}^{{t}} {dt}}{\mathrm{1}+{t}^{\mathrm{2}} }\:\:\:{is}\:{it}\:{intregable}\:... \\ $$

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