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CBSE 2023 · Region 2 · Set 3 · Q4 · 1 mark

If $\displaystyle \int_{0}^{2 \pi} \cos ^{2} x \mathrm{~d} x=\mathrm{k} \int_{0}^{\pi / 2} \cos ^{2} x \mathrm{~d} x$, then the value of k is

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