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

[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 \(g(\alpha )={\int }_{\frac{\pi }{6}}^{\frac{\pi }{3}}\frac{{\sin }^{\alpha }x}{{\cos }^{\alpha }x+{\sin }^{\alpha }x}dx\)

[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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