The value of the integral \( \int \frac{1+x^{2}}{1+x^{4}} d x \) is equal to (A) \( \tan ^{-1} x...
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0The value of the integral \( \int \frac{1+x^{2}}{1+x^{4}} d x \) is equal to
(A) \( \tan ^{-1} x^{2}+C \)
(B) \( \frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac{x^{2}-1}{\sqrt{2} x}\right) \)
(C) \( \frac{1}{2 \sqrt{2}} \log \left(\frac{x^{2}+\sqrt{2} x+1}{x^{2}-\sqrt{2} x+1}\right)+C \)
(D) none of these
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