\[\int_{{}}^{{}}{\frac{{{x}^{2}}-1}{{{x}^{4}}+{{x}^{2}}+1}\ dx=}\] [AISSE 1990]

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

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

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

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

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

1.	\[\int_{{}}^{{}}{\frac{{{x}^{2}}-1}{{{x}^{4}}+{{x}^{2}}+1}\ dx=}\] [AISSE 1990]
A.	\[\frac{1}{2}\log \left( \frac{{{x}^{2}}+x+1}{{{x}^{2}}-x+1} \right)+c\]
B.	\[\frac{1}{2}\log \left( \frac{{{x}^{2}}-x-1}{{{x}^{2}}+x+1} \right)+c\]
C.	\[\log \left( \frac{{{x}^{2}}-x+1}{{{x}^{2}}+x+1} \right)+c\]
D.	\[\frac{1}{2}\log \left( \frac{{{x}^{2}}-x+1}{{{x}^{2}}+x+1} \right)+c\]
Answer» E.

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\[\int_{{}}^{{}}{\frac{{{x}^{2}}-1}{{{x}^{4}}+{{x}^{2}}+1}\ dx=}\] [AISSE 1990]

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