1.

\[\int_{{}}^{{}}{\frac{dx}{\sqrt{2x-{{x}^{2}}}}=}\]              [MP PET 1991; Karnataka CET 2002]

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


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