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Evaluete intx/(x^4+x^2+1)dx...

Evaluete `intx/(x^4+x^2+1)dx`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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