1.

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

A.                 \[x\log (\log x)+\frac{x}{\log x}+c\]
B.                 \[x\log (\log x)-\frac{x}{\log x}+c\]
C.                 \[x\log (\log x)+\frac{\log x}{x}+c\]
D.                 \[x\log (\log x)-\frac{\log x}{x}+c\]
Answer» C.                 \[x\log (\log x)+\frac{\log x}{x}+c\]


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