If f: R → R be a continuous function satisfying ∫_0^((π)/2) f( sin 2 x) sin x d x+α ∫_0^((π)/4) f( cos 2 x) cos x d x=0, then the value of α is

If $\displaystyle f: \mathbb{R} \rightarrow \mathbb{R}$ be a continuous function satisfying $\displaystyle \int_0^{\frac{\pi}{2}} f(\sin 2 x) \sin x d x+\alpha \int_0^{\frac{\pi}{4}} f(\cos 2 x) \cos x d x=0$, then the value of $\displaystyle \alpha$ is