The value of \(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\mathrm{~d} x}{1+\tan ^{18} x}\) is:

1
\(\frac{\pi}{4}\)
2
\(\frac{\pi}{6}\)
3
\(\frac{\pi}{9}\)
4
\(\frac{\pi}{12}\)

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