Question Number 44639 by arvinddayama01@gmail.com last updated on 02/Oct/18
$$\int\frac{\mathrm{1}}{\mathrm{1}+\left(\boldsymbol{\mathrm{log}}\:\boldsymbol{\mathrm{x}}\right)^{\mathrm{2}} }\boldsymbol{\mathrm{dx}}=? \\ $$$$ \\ $$
Commented by tanmay.chaudhury50@gmail.com last updated on 02/Oct/18
$${t}={lnx}\:\:{x}={e}^{{t}\:\:} \:\:\:{dx}={e}^{{t}} \:\:{dt} \\ $$$$\int\frac{{e}^{{t}} {dt}}{\mathrm{1}+{t}^{\mathrm{2}} }\:\:\:{is}\:{it}\:{intregable}\:… \\ $$