Evaluate the definite integrals: \[ \int_{0}^{\pi / 3} \frac{\sec x \tan x}{1+\sec ^{2} x} d x \]

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Evaluate the
definite integrals:
\[
\int_{0}^{\pi / 3} \frac{\sec x \tan x}{1+\sec ^{2} x} d x
\]
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