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let f(x) =(x)/((a+x^(n))^((1)/(n))) for ...

let `f(x) =(x)/((a+x^(n))^((1)/(n)))` for `n gt 2` and g(x) = fofof……..of(x) (n times). Then `int x^(n-2)g(x)dx` equals

A

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

B

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

C

`(1)/(n(n-1)) (1+n x^(n))^(1+(1)/(n)) +K`

D

`(1)/(n-1)(1+n x^(n))^(1+(1)/(n)) +K`

Text Solution

Verified by Experts

The correct Answer is:
A
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