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int (x^(2) +1)/(x^(4) + x^(2) + 1) dx =...

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

A

`- (1)/(sqrt(3)) tan^(-1) ((x^(2) -1)/(sqrt(3) x))+ c`

B

` (1)/(sqrt(3)) tan^(-1) ((sqrt(3x))/(x^(2) + 1))+ c`

C

`(1)/(sqrt(2)) tan^(-1) ((x^(2) -1)/(sqrt(3) x))+ c`

D

`(1)/(sqrt(3)) tan^(-1) ((x^(2) -1)/(sqrt(3) x))+ c`

Text Solution

Verified by Experts

The correct Answer is:
D
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