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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)/(sqrt(2x)) ) + c`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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