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int(x^(2)-1)/((x^(4)+3x^(2)+1)tan^(-1)(x...

`int(x^(2)-1)/((x^(4)+3x^(2)+1)tan^(-1)(x+(1)/(x)))dx=`

A

`tan^(-1)(x+1/x)+C`

B

`(x+1/x)tan^(-1)(x+1/x)+C`

C

`ln|tan^(-1)(x+1/x)|+C`

D

`1/2ln|x+1/x|+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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