Q .     Let `f(x)=x/((1+x^n)^(1/n))` for `n>=2` and `g(x)=f(f(fcdotsf(x))("n times")`. Then `intx^(n-2)g(x)dx` equals :

JEE 2007
A

` 1/(n(n-1)) (1+nx^n)^(1-1/n) + c`

B

`1/((n-1)) (1+nx^n)^(1-1/n) + c`

C

`1/(n(n+1)) (1+nx^n)^(1-1/n) + c`

D

`1/((n+1))(1+nx^n)^(1-1/n) + c`

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