Which of the following statements is correct for the function \(g(\alpha)\) for \(\alpha \in R\) such that \(g(\alpha)=\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sin ^\alpha x}{\cos ^\alpha x+\sin ^\alpha x} d x\)

[JEE Main 2021, 17 Mar (Shift 1)]

Question

Which of the following statements is correct for the function \(g(\alpha)\) for \(\alpha \in R\) such that \(g(\alpha)=\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sin ^\alpha x}{\cos ^\alpha x+\sin ^\alpha x} d x\)

[JEE Main 2021, 17 Mar (Shift 1)]

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Which of the following statements is correct for the function \(g(\alpha)\) for \(\alpha \in R\) such that \(g(\alpha)=\…

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