If \( \int \frac{d x}{x^{2}\left(x^{n}+1\right)^{(n-1) / n}}=-[f(x)]^{1 / n}+c \), then \( f(x) ...
If \( \int \frac{d x}{x^{2}\left(x^{n}+1\right)^{(n-1) / n}}=-[f(x)]^{1 / n}+c \), then \( f(x) \) is
(A) \( \left(1+x^{n}\right) \)
(B) \( 1+x^{-n} \)
(C) \( x^{n}+x^{-n} \)
(D) none of these
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