MathematicsHard210×since 2002Q3462If f:R→Rf: \mathbb{R} \rightarrow \mathbb{R}f:R→R be a continuous function satisfying \int_\limits{0}^{\frac{\pi}{2}} f(\sin 2 x) \sin x d x+\alpha \int_\limits{0}^{\frac{\pi}{4}} f(\cos 2 x) \cos x d x=0, then the value of α\alphaα is :A−3-\sqrt{3}−3B2\sqrt{2}2C−2-\sqrt{2}−2D3\sqrt{3}3Check answerSkip