\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}-{{a}^{2}}}}}\] equals [SCRA 1996]

\[{{\log }_{e}}|x-\sqrt{{{x}^{2}}-{{a}^{2}}}|+c\]

\[{{\sin }^{-1}}\left( \frac{x}{a} \right)+c\]

\[{{\log }_{e}}|x+\sqrt{{{x}^{2}}-{{a}^{2}}}|+c\]

\[\frac{x\sqrt{{{x}^{2}}-{{a}^{2}}}}{2+c}\]

\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}-{{a}^{2}}}}}\] equals [SCRA

1.	\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}-{{a}^{2}}}}}\] equals [SCRA 1996]
A.	\[{{\sin }^{-1}}\left( \frac{x}{a} \right)+c\]
B.	\[{{\log }_{e}}\|x+\sqrt{{{x}^{2}}-{{a}^{2}}}\|+c\]
C.	\[{{\log }_{e}}\|x-\sqrt{{{x}^{2}}-{{a}^{2}}}\|+c\]
D.	\[\frac{x\sqrt{{{x}^{2}}-{{a}^{2}}}}{2+c}\]
Answer» C. \[{{\log }_{e}}\|x-\sqrt{{{x}^{2}}-{{a}^{2}}}\|+c\]

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\[\int_{{}}^{{}}{\frac{dx}{\sqrt{{{x}^{2}}-{{a}^{2}}}}}\] equals [SCRA 1996]

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