Indefinite Integration

If $\int\dfrac{\sin x}{\sin 4x}\, dx = \alpha\log\left|\dfrac{1 + \sin x}{1 - \sin x}\right| + \beta\log\left|\dfrac{1 + \sqrt{2}\sin x}{1 - \sqrt{2}\sin x}\right| + c$, then the value of $32(\alpha + \beta^2) =$