MCQ

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$\int_{}^{} {\frac{{{x^2} + 1}}{{{x^4} + 1}}dx = } $

• A
  $\frac{1}{{\sqrt 2 }}{\tan ^{ - 1}}\left( {\frac{{{x^2} - 1}}{{2x}}} \right) + c$
• B
  $\frac{1}{{\sqrt 2 }}{\tan ^{ - 1}}\left( {\frac{{{x^2} - 1}}{{\sqrt {2x} }}} \right) + c$
• C
  $\frac{1}{{\sqrt 2 }}{\tan ^{ - 1}}\left( {\frac{{{x^2} - 1}}{{2\sqrt x }}} \right) + c$
• ✓
  $\frac{1}{{\sqrt 2 }}{\tan ^{ - 1}}\left( {\frac{{{x^2} - 1}}{{\sqrt 2 x}}} \right) + c$