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the value of integral int0^2 (log(x^2+2...

the value of integral `int_0^2 (log(x^2+2))/(x+2)^2dx` is

A

`(sqrt(2))3tan^(-1)sqrt(2)+5/12 log2-1/4log3`

B

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

C

`(sqrt(2))/3tan^(-1)sqrt(2)+5/12 log 2 +1/4 log3`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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