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

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

A

`1/sqrt(2)tan^(-1)((x^(4)+x^(2)+1)/sqrt(2))+c`

B

`((x^(2)+1)/3)logabs(x^(4)+x^(2)+1)+c`

C

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

D

`tan^(-1)(x)logabs((x^(4)+1)/(x^(2)))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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