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The value if int(x^(2)-1)/((x^(2)+1)(sqr...

The value if `int(x^(2)-1)/((x^(2)+1)(sqrt(x^(4)+1)))dx` equal to `(1)/(sqrt(2))sec^(-1)(f(x))+c`, then `f(x)` is

A

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

B

`(x^(2)-1)/(sqrt(2)x)`

C

`(x^(2)+1)/(2x)`

D

`(x^(2)+1)/(sqrt(2)x)`

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