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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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