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

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

A

`(1)/(sqrt(2))log_(e)(x^2)+C`

B

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

C

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

D

`(1)/(sqrt(2))tan^(-1)((x^2-1)/(xsqrt(2)))+C`.

Text Solution

Verified by Experts

The correct Answer is:
D
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