inte^(log(1+1/x^(2)))/(x^(2)+1/x^(2))dx=...

`inte^(log(1+1/x^(2)))/(x^(2)+1/x^(2))dx=`

A

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

B

(b) `1/sqrt(2)log((x^(2)+1)/(xsqrt(2)))+c`

C

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

D

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

Verified by Experts

The correct Answer is:

A

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