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int8/((x+2)(x^2+4))dx...

`int8/((x+2)(x^2+4))dx`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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