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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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