Which of the following statements is incorrect for the function $\mathrm{g}(\alpha)$ for $\alpha \in \mathrm{R}$ such that.
$\mathrm{g}(\alpha)=\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sin ^{\alpha} \mathrm{x}}{\cos ^{\alpha} \mathrm{x}+\sin ^{\alpha} \mathrm{x}} \mathrm{dx}$
Correct Option: , 4
$\mathrm{g}(\alpha)=\int_{\frac{\pi}{6}}^{\pi / 3} \frac{\sin ^{\alpha} \mathrm{x}}{\left(\sin ^{\alpha} \mathrm{x}+\cos ^{\alpha} \mathrm{x}\right)} \quad \ldots . .(\mathrm{i})$...(1)
$g(\alpha)=\int_{\frac{\pi}{6}}^{\pi / 3} \frac{\cos ^{\alpha} x}{\left(\sin ^{\alpha} x+\cos ^{\alpha} x\right)} \ldots \ldots$..(2)
$(1)+(2)$
$2 g(\alpha)=\frac{\pi}{6}$
$g(\alpha)=\frac{\pi}{12}$
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