1.

\[\int_{{}}^{{}}{\frac{1}{({{x}^{2}}-1)\sqrt{{{x}^{2}}+1}}}\ dx=\]

A.            \[\frac{1}{2\sqrt{2}}\log \left\{ \frac{\sqrt{1+{{x}^{2}}}+x\sqrt{2}}{\sqrt{1+{{x}^{2}}}-x\sqrt{2}} \right\}+c\]
B.            \[\frac{1}{2\sqrt{2}}\log \left\{ \frac{\sqrt{1+{{x}^{2}}}-\sqrt{2}}{\sqrt{1+{{x}^{2}}}+\sqrt{2}} \right\}+c\]
C.            \[\frac{1}{2\sqrt{2}}\log \left\{ \frac{\sqrt{1+{{x}^{2}}}-x\sqrt{2}}{\sqrt{1+{{x}^{2}}}+x\sqrt{2}} \right\}+c\]
D.            None of these
Answer» D.            None of these


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