Match the column-I with column-II \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Column....
0Match the column-I with column-II
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{|c|}{ Column-II } \\
\hline (A) & \( \int_{0}^{\pi} x\left(\sin ^{2}(\sin x)+\cos ^{2}(\cos x)\right) d x \) & (P) & \( \frac{\pi^{2}}{2 \sqrt{2}} \) \\
\hline is equal to & \( \int_{0}^{\pi} \frac{\sqrt{2} x d x}{1+\sin ^{2} x} \) is equal to & (Q) & \( \frac{\pi^{2}}{4} \) \\
\hline & \( \int_{0}^{\frac{\pi^{2}}{4}}(2 \sin \sqrt{x}+\sqrt{x} \cos x \sqrt{x}) d x \) & (R) & \( \frac{\pi^{2}}{2} \) \\
(C) & is equal to & & \\
\hline (D) & \( \left.\int_{0}^{\pi}(\text { (cos } x)^{\frac{1}{3}}+(\tan x)^{\frac{1}{3}}+2 x\right) d x \) & (S) & \( \pi^{2} \) \\
\hline
\end{tabular}
Codes:
\( \mathrm{P} \)
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{S} \) & \( \mathrm{Q} \) \\
(2) & \( \mathrm{R} \) & \( \mathrm{R} \) & \( \mathrm{R} \) & \( \mathrm{S} \) \\
(3) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{Q} \) & \( \mathrm{S} \) \\
(4) & \( \mathrm{Q} \) & \( \mathrm{P} \) & \( \mathrm{S} \) & \( \mathrm{R} \)
\end{tabular}
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live