Tính \(F \left( x \right)= \int{x. \cos 2x \, \text{d}x}. \)
A.\(F\left( x \right)=\frac{1}{2}x\sin 2x+\frac{1}{2}\cos 2x+C.\)
B.\(F\left( x \right)=\frac{1}{2}x\sin 2x+\frac{1}{4}\cos 2x+C.\)
C.\(F\left( x \right)=\frac{{{x}^{2}}\sin 2x}{4}+C.\)
D.\(F\left( x \right)=\sin 2x+C.\)