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The value of the integral overset(2)unde...

The value of the integral `overset(2)underset(0)int (log(x^(2)+2))/((x+2)^(2))`, dx is

A

`sqrt2/3 tan^(-1) sqrt2 + 5/12 log 2 - 1/4 log 3`

B

`sqrt2/3 tan^(-1) sqrt2 - 5/12 log 2 - 1/12 log 3`

C

`sqrt2/3 tan^(-1) sqrt2 + 5/12 log 2 + 1/4 log 3 `

D

`sqrt2/3 tan^(-1) sqrt2 - 5/12 log 2 + 1/12 log 3`

Text Solution

Verified by Experts

The correct Answer is:
D
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