Let \( f(x)=\frac{x}{\left(1+x^{n}\right)^{1 / n}} \) for \( n \geq 2 \) and \( g(x)=f \) of \( ....

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Let \( f(x)=\frac{x}{\left(1+x^{n}\right)^{1 / n}} \) for \( n \geq 2 \) and \( g(x)=f \) of \( f \ldots \)
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of \( (x) \) ( \( n \) times). Then \( \int x^{n-2} g(x) d x \) equals
(1) \( \frac{1}{n(n-1)}\left(1+n x^{n}\right)^{1-\frac{1}{n}}+K \)
(2) \( \frac{1}{n(n-1)}\left(1+n x^{n}\right)^{1-\frac{1}{n}}+K \)
(3) \( \frac{1}{n(n-1)}\left(1+n x^{n}\right)^{1+\frac{1}{n}}+K \)
(4) \( \frac{1}{n-1}\left(1+n x^{n}\right)^{1+\frac{1}{n}}+K \)



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