Evaluate the integral \( \int_{\pi/6}^{\pi/3} \frac{\sin^3 x}{\sin^3 x + \cos^3 x} \, dx \).

Question

\( \frac{\pi}{2} \)

\( \frac{\pi}{3} \)

\( \frac{\pi}{12} \)

\( \frac{\pi}{6} \)

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