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int(0)^(oo)(1)/(1+x^(n))dx, AA n gt 1 eq...

`int_(0)^(oo)(1)/(1+x^(n))dx, AA n gt 1` equals

A

`2int_(0)^(oo)(1)/(1+x)dx`

B

`int_(-oo)^(oo)(1)/(1+x^(n))dx`

C

`int_(1)^(oio)(dx)/((x^(n)-1)^(1//n))`

D

`int_(0)^(1)(1)/((1-x^(n))^(1//n))dx`

Text Solution

Verified by Experts

The correct Answer is:
D
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