Which of the following statements is incorrect for the function g (α) for α ∈ R such that g (α)=∫_((π)/6)^((π)/3) (sin^α x)/(cos^α x+ sin^α x) d x

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