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Evaluate: intx/((x+1)(x^2+1))dx...

Evaluate: `intx/((x+1)(x^2+1))dx`

A

`(1)/(2)log|x-1|+(1)/(4)log|x^2+1|+(1)/(2)tan^(-1)x+c`

B

`(1)/(2)log|x-1|-(1)/(4)log|x^2+1|-(1)/(2)tan^(-1)x+c`

C

`(1)/(2)log|x-1|-(1)/(4)log|x^2+1|+(1)/(2)tan^(-1)x+c`

D

`(1)/(2)log|x-1|+(1)/(4)log|x^2+1|-(1)/(2)tan^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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