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The value of the integral int(dx)/(x^(n)...

The value of the integral `int(dx)/(x^(n)(1+x^(n))^(1//n)), n in N` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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