1.

\[\int{\sqrt{\frac{x}{1-x}}dx}\] is equal to

A. \[{{\sin }^{-1}}\sqrt{x}+c\]
B. \[{{\sin }^{-1}}\{\sqrt{x}-\sqrt{x(1-x)\}}+c\]
C. \[{{\sin }^{-1}}\sqrt{x(1-x)}+c\]
D. \[{{\sin }^{-1}}\sqrt{x}-\sqrt{x(1-x)}+c\]
Answer» E.


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