Mathematics Integral Calculus Definite Integrals

Evaluate:

\(\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\frac{{1}}{1+tan^3x}\ dx \)

1
\(\frac{\pi}{12}\)
2
\(\frac{\pi}{4}\)
3
\(\frac{\pi}{6}\)
4
\(\frac{\pi}{24}\)

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