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int (x^(2)-1)/(x^(2)+1) dx=...

`int (x^(2)-1)/(x^(2)+1) dx=`

A

`1/sqrt2Tan^(-1)((x^2+1)/(sqrt2x))+c`

B

`1/sqrt2Tan^(-1)((x^2-1)/(sqrt2x))+c`

C

`1/(2sqrt2)ln|(x^2-sqrt2x+1)/(x^2+sqrt2x+1)|+c`

D

`1/(2sqrt2)ln|(x^2+sqrt2x+1)/(x^2-sqrt2x+1)|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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