\[\int_{{}}^{{}}{\sqrt{\frac{a-x}{x}}\ dx=}\]

• A. \[a\left[ {{\sin }^{-1}}\sqrt{\frac{x}{a}}+\sqrt{\frac{x}{a}}\sqrt{\frac{a-x}{a}} \right]+c\]
• B. \[{{\sin }^{-1}}\frac{x}{a}+\frac{x}{a}\sqrt{{{a}^{2}}-{{x}^{2}}}+c\]
• C. \[a\left[ {{\sin }^{-1}}\frac{x}{a}-\frac{x}{a}\sqrt{{{a}^{2}}-{{x}^{2}}} \right]+c\]              
• D. \[{{\sin }^{-1}}\frac{x}{a}-\frac{x}{a}\sqrt{{{a}^{2}}-{{x}^{2}}}+c\]