Mathematics

Evaluate: $$\displaystyle \int \dfrac{1}{x \,log \,x \,log (log \,x)}dx$$


ANSWER

$$log(log(log(x)))+c$$


SOLUTION
Now,
$$\displaystyle \int \dfrac{1}{x \,log \,x \,log (log \,x)}dx$$
$$\displaystyle \int \dfrac{d\{\log (\log x)\}}{\log (\log x)}dx$$
$$=\log \{\log (\log x)\}+c$$ [ Where $$c$$ being integrating constant].
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Single Correct Medium Published on 17th 09, 2020
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