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

Answered by qaz last updated on 21/Apr/21

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

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