Let f(x) = x (1+x^n)^ 1/n , x R- -1 , n N, n 2. if f^n(x) = (fofo……. upto n times) (x), then _ n _0^1x^ n-2...

Question

Let f(x) = x (1+x^n)^ 1/n , x R- -1 , n N, n > 2. if f^n(x) = (fofo……. upto n times) (x), then _ n _0^1x^ n-2 (f^n(x))dx is equal to __________.

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JEE Main 2023 Mathematics question