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  4. ∫(dx/x⋅(ln x)(ln(ln x))....... ((ln ln ln ... ln x))20 times) is equal to

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Q. $\int\frac{dx}{x\cdot\left(ln\, x\right)\left(ln\left(ln \,x\right)\right)....... \frac{\left(ln\, ln\, ln ... ln \,x\right)}{20\, times}} $ is equal to

Integrals

Solution:

Correct answer is (c) $\frac{\left(log\, log \,log .....x\right)}{21 times} +c$