Tính \(F\left( x \right) = \int {x\sin 2xdx.} \) Chọn kết quả đúng.

A. \(F\left( x \right) = \frac{1}{4}\left( {2x\cos 2x + \sin 2x} \right) + C.\)

B. \(F\left( x \right) = - \frac{1}{4}\left( {2x\cos 2x + \sin 2x} \right) + C.\)

C. \(F\left( x \right) = - \frac{1}{4}\left( {2x\cos 2x - \sin 2x} \right) + C.\)

D. \(F\left( x \right) = \frac{1}{4}\left( {2x\cos 2x - \sin 2x} \right) + C.\)