Lat $$f(x) = \frac{x}{\left(1 + x^n\right)^{\frac{1}{n}}}$$ for $$n \geq 2$$ and $$g(x) = \underbrace{(f\circ f \circ ... \circ f)(x)}_{f occurs n times}$$. Then $$\int x^{n-2}g(x)dx$$ equals

A

$$\frac{1}{n(n-1)}\left(1 + nx^n\right)^{1-\frac{1}{n}}+K$$

B

$$\frac{1}{n-1}\left(1 + nx^n\right)^{1-\frac{1}{n}}+K$$

C

$$\frac{1}{n(n+1)}\left(1 + nx^n\right)^{1+\frac{1}{n}}+K$$

D

$$\frac{1}{n+1}\left(1 + nx^n\right)^{1+\frac{1}{n}}+K$$