Match the items of Column I to those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline & Column I ....
Match the items of Column I to those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline & Column I & & Column II \\
\hline (A) & \( \int_{0}^{\pi / 2} \frac{d x}{1+\tan ^{3} x}= \) & (P) & \( \frac{\pi}{4} \) \\
\hline (B) & \( \int_{0}^{\pi / 2} \frac{d x}{1+\sqrt{\cot x}}= \) & (Q) & \( \frac{\pi}{2} \) \\
\hline (C) & \( \int_{0}^{\pi} \frac{\sin x}{1+\cos ^{2} x} d x= \) & (R) & \( \pi \) \\
\hline (D) & \( \int_{0}^{\pi} \frac{f(x)}{f(x)+f(\pi-x)} d x= \) & (S) & \( \frac{\pi}{3} \) \\
\hline & & (T) & \( \frac{2 \pi}{3} \) \\
\hline
\end{tabular}
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & \( \mathrm{P} \) & \( \mathrm{P} \) & \( \mathrm{Q} \) & \( \mathrm{Q} \) \\
(2) & \( \mathrm{Q} \) & \( \mathrm{R} \) & \( \mathrm{Q} \) & \( \mathrm{P} \) \\
(3) & \( \mathrm{S} \) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{Q} \) \\
(4) & \( \mathrm{R} \) & \( \mathrm{S} \) & \( \mathrm{P} \) & \( \mathrm{Q} \)
\end{tabular}
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