Evaluate: \( \int_{\pi / 6}^{\pi / 4}\left[\frac{\sec x+\operatorname{cosec} x-\sec x \operatorn...

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Evaluate: \( \int_{\pi / 6}^{\pi / 4}\left[\frac{\sec x+\operatorname{cosec} x-\sec x \operatorname{cosec} x}{2}\right] d x \)
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