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Evaluate: int(1+x^2)/((1-x^2)sqrt(1+x^2+...

Evaluate: `int(1+x^2)/((1-x^2)sqrt(1+x^2+x^4))\ dx`

A

`-(1)/(2sqrt(3))log|(sqrt(x^(4)+x^(2)+1)-sqrt(3)x)/(sqrt(x^(4)+x^(2)+1)+sqrt(3)x)|+C`

B

`(1)/(2sqrt(3))log|(sqrt(x^(4)+x^(2)+1)+sqrt(2)x)/(sqrt(x^(4)+x^(2)+1)-sqrt(2)x)|+C`

C

`(1)/(2sqrt(3))log|(sqrt(x^(4)-x^(2)+1)-sqrt(3)x)/(sqrt(x^(4)+x^(2)+1)+sqrt(3)x)|+C`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
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