Question \( \int_{\pi / 6}^{\pi / 3} \frac{d x}{1+\sqrt{\cot x}} \) is \( \frac{\pi}{k} \) then ....

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\( \int_{\pi / 6}^{\pi / 3} \frac{d x}{1+\sqrt{\cot x}} \) is \( \frac{\pi}{k} \) then \( k \) equal


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