If \( l^{r}(x) \) means \( \log \log \log \ldots x, \log \) being repeated \( r \) times, then \....

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If \( l^{r}(x) \) means \( \log \log \log \ldots x, \log \) being repeated
\( \mathrm{P} \)
\( r \) times, then \( \int\left[x l(x) l^{2}(x) l^{3}(x) \ldots l^{r}(x)\right]^{-1} d x \) is equal to
(1) \( l^{r+1}(x)+C \)
(2) \( \frac{l^{r+1}(x)}{r+1}+C \)
(3) \( l^{r}(x)+C \)
(4) None of these



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