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int(3x+1)/((x+2)(x-2)^(2))dx...

`int(3x+1)/((x+2)(x-2)^(2))dx`

A

`(5)/(16)log|x-2|+(7)/(4(x-2))+(5)/(16)log|x+2|+c`

B

`(5)/(16)log|x-2|-(7)/(4(x-2))-(5)/(16)log|x+2|+c`

C

`(5)/(16)log|x-2|-(7)/(4(x-2))+(5)/(16)log|x+2|+c`

D

`(5)/(16)log|x-2|+(7)/(4(x-2))-(5)/(16)log|x+2|+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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