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Let f(x)=(x)/((1+x^(n))^(1//n)) for n ge...

Let `f(x)=(x)/((1+x^(n))^(1//n))` for `n ge 2` and `g(x)=underset("n times")underbrace(fofo ..."of"(x))`, then `int x^(n-2)g(x)dx` equals to

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`

Text Solution

Verified by Experts

The correct Answer is:
A
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