\[\int_{{}}^{{}}{\frac{x}{\sqrt{4-{{x}^{4}}}}dx}=\] [Roorkee 1976]

• A.            \[{{\cos }^{-1}}\frac{{{x}^{2}}}{2}\]
• B.            \[\frac{1}{2}{{\cos }^{-1}}\frac{{{x}^{2}}}{2}\]
• C.            \[{{\sin }^{-1}}\frac{{{x}^{2}}}{2}\]
• D.            \[\frac{1}{2}{{\sin }^{-1}}\frac{{{x}^{2}}}{2}\]