\[\int_{{}}^{{}}{\frac{{{x}^{2}}+1}{{{x}^{4}}-{{x}^{2}}+1}\ dx=}\] [MP PET 1991]

\[{{\cot }^{-1}}\left( \frac{{{x}^{2}}-1}{x} \right)+c\]

\[{{\tan }^{-1}}\left( \frac{1+{{x}^{2}}}{x} \right)+c\]

\[{{\cot }^{-1}}\left( \frac{1+{{x}^{2}}}{x} \right)+c\]

\[{{\tan }^{-1}}\left( \frac{{{x}^{2}}-1}{x} \right)+c\]

\[\int_{{}}^{{}}{\frac{{{x}^{2}}+1}{{{x}^{4}}-{{x}^{2}}+1}\ dx=}\] [MP

1.	\[\int_{{}}^{{}}{\frac{{{x}^{2}}+1}{{{x}^{4}}-{{x}^{2}}+1}\ dx=}\] [MP PET 1991]
A.	\[{{\tan }^{-1}}\left( \frac{1+{{x}^{2}}}{x} \right)+c\]
B.	\[{{\cot }^{-1}}\left( \frac{1+{{x}^{2}}}{x} \right)+c\]
C.	\[{{\tan }^{-1}}\left( \frac{{{x}^{2}}-1}{x} \right)+c\]
D.	\[{{\cot }^{-1}}\left( \frac{{{x}^{2}}-1}{x} \right)+c\]
Answer» D. \[{{\cot }^{-1}}\left( \frac{{{x}^{2}}-1}{x} \right)+c\]