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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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