$\int x \sin x \cos x dx$

Question

$(a)\;\frac{x}{4} \cos 2x-\frac{\sin 2x}{4}+c \qquad(b)\;\frac{-x}{4} \cos 2x+\frac{\sin 2x}{4}+c \qquad(c)\;\frac{-x}{4} \sin 2x + \frac{\cos 2x}{4}+c \qquad (d)\;None$