\( \mathrm{P} \) The value of \( \int_{0}^{\pi / 2 n} \frac{d x}{1+...

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\( \mathrm{P} \)
The value of \( \int_{0}^{\pi / 2 n} \frac{d x}{1+\tan ^{n}(n x)} \) is equal to, \( (n \in N) \)
W
(1) 0
(2) \( \frac{\pi}{4 n} \)
(3) \( \frac{\pi}{2 n} \)
(4) \( \frac{\pi}{2} \)
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