Tìm nguyên hàm \(F\left( x \right)\)của hàm số \(f\left( x \right) = 6x + \sin 3x\), biết \(F\left( 0 \right) = \frac{2}{3}.\)
A. \(F\left( x \right) = 3{x^2} - \frac{{c{\rm{os}}3x}}{3} + \frac{2}{3}\)
B.\(F\left( x \right) = 3{x^2} - \frac{{c{\rm{os}}3x}}{3} - 1\)
C. \(F\left( x \right) = 3{x^2} + \frac{{c{\rm{os}}3x}}{3} + 1\)
D. \(F\left( x \right) = 3{x^2} - \frac{{c{\rm{os}}3x}}{3} + 1\)