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Question Number 138994 by mathlove last updated on 21/Apr/21

Answered by qaz last updated on 21/Apr/21

∫(dx/(xln(x)ln(lnx)))=∫((d(lnx))/(ln(x)ln(lnx)))=∫((d(ln(lnx)))/(ln(lnx)))=ln(ln(lnx))+C

$$\int\frac{{dx}}{{xln}\left({x}\right){ln}\left({lnx}\right)}=\int\frac{{d}\left({lnx}\right)}{{ln}\left({x}\right){ln}\left({lnx}\right)}=\int\frac{{d}\left({ln}\left({lnx}\right)\right)}{{ln}\left({lnx}\right)}={ln}\left({ln}\left({lnx}\right)\right)+{C} \\ $$

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