A.\(\int {f\left( x \right)dx}  = \dfrac{{\arcsin x - x\sqrt {1 - {x^2}} }}{2} + C\)
B.\(\int {f\left( x \right)dx}  = \dfrac{{\arcsin x + x\sqrt {1 - {x^2}} }}{2} + C\)
C.\(\int {f\left( x \right)dx}  = \dfrac{{2\arcsin x - x\sqrt {1 - {x^2}} }}{2} + C\)
D.\(\int {f\left( x \right)dx}  = \dfrac{{2\arcsin x + x\sqrt {1 - {x^2}} }}{2} + 2x\)