indefinite-integration

Question: $\int_{{}}^{{}}{\left[ \log (\log x)+\frac{1}{{{(\log x)}^{2}}} \right]}\ dx=$

1) $x\log (\log x)+\frac{x}{\log x}+c$

2) $x\log (\log x)-\frac{x}{\log x}+c$

3) $x\log (\log x)+\frac{\log x}{x}+c$

4) $x\log (\log x)-\frac{\log x}{x}+c$

Solution:

Explanation: No Explanation

Integration by parts

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