\( \int \frac{x^{2}-1}{\left(x^{2}+1\right) \sqrt{1+x^{4}}} d x \) is equal to (A) \( 2 \tan ^{-...

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\( \int \frac{x^{2}-1}{\left(x^{2}+1\right) \sqrt{1+x^{4}}} d x \) is equal to
(A) \( 2 \tan ^{-1} \frac{\sqrt{x^{2}+1 / x^{2}}}{\sqrt{2}}+c \)
(B) \( \frac{1}{2} \tan ^{-1} \frac{\sqrt{x^{2}+1 / x^{2}}}{2}+c \)
(C) \( \frac{1}{2} \tan ^{-1} \frac{\sqrt{x^{2}+1 / x^{2}}}{\sqrt{2}}+c \)
(D) None of these
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