Question Number 138994 by mathlove last updated on 21/Apr/21
Answered by qaz last updated on 21/Apr/21
$$\int\frac{{dx}}{{xln}\left({x}\right){ln}\left({lnx}\right)}=\int\frac{{d}\left({lnx}\right)}{{ln}\left({x}\right){ln}\left({lnx}\right)}=\int\frac{{d}\left({ln}\left({lnx}\right)\right)}{{ln}\left({lnx}\right)}={ln}\left({ln}\left({lnx}\right)\right)+{C} \\ $$