Match the items of Column-I with those in Column II. \begin{tabular}{|l|l|l|l|} \hline \multicol....

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Match the items of Column-I with those in Column II.
P
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \begin{tabular}{l}
\( \int \frac{1+\log _{e} x}{1+x \log _{e} x} d x \) \\
equals
\end{tabular} & (p) & \( \frac{1}{6} \log _{e}\left|\frac{x-1}{x+5}\right| \) \\
\hline (B) & \( \int \frac{d x}{x^{2}+4 x-5} \) is & (q) & \( \log _{e}\left|1+\log _{e} x\right|+c \) \\
\hline (C) & \begin{tabular}{l}
\( \int[1+2 \tan x \) \\
\( (\tan x+\sec x)]^{1 / 2} d x \) \\
is
\end{tabular} & (r) & \( \log _{e}|\sec x(\sec x+\tan x)| \) \\
\hline (D) & \begin{tabular}{l}
\( \int \frac{d x}{x\left(1+\log _{e} x\right)} \) \\
equals
\end{tabular} & (s) & \( \log _{e}\left|1+x \log _{e} x\right|+c \) \\
\hline
\end{tabular}
(1) (A) \( \rightarrow(\mathrm{r}),(\mathrm{B}) \rightarrow(\mathrm{s}),(\mathrm{C}) \rightarrow(\mathrm{q}),(\mathrm{D}) \rightarrow(\mathrm{p}) \)
(2) (A) \( \rightarrow \) (p), (B) \( \rightarrow \) (q), (C) \( \rightarrow \) (s), (D) \( \rightarrow(\mathrm{r}) \)
(3) (A) \( \rightarrow(\mathrm{s}),(\mathrm{B}) \rightarrow(\mathrm{p}) ;(\mathrm{C}) \rightarrow(\mathrm{r}) ;(\mathrm{D}) \rightarrow(\mathrm{q}) \)
(4) (A) \( \rightarrow(\mathrm{p}),(\mathrm{B}) \rightarrow(\mathrm{q}),(\mathrm{C}) \rightarrow(\mathrm{s}),(\mathrm{D}) \rightarrow(\mathrm{r}) \)


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