If n>1, then int0^oo(dx)/((x+sqrt(1+x^2)...

If n>1, then `int_0^oo(dx)/((x+sqrt(1+x^2))^n)` equals

A

`(n)/(n^(2)-1)`

B

`(2n)/(n^(2)-1)`

C

`(n)/(2(n^(2)-1))`

D

`sqrt(n^(2)-1)`

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The correct Answer is:

A

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