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int(1)/((x+5)(x^(2)+4))dx=...

`int(1)/((x+5)(x^(2)+4))dx=`

A

`(1)/(9)[(1)/(x+5)-(x-5)/(x^(2)+4)]+c`

B

`(1)/(9)[(1)/(x-5)-(x+5)/(x^(2)-4)]+c`

C

`-(1)/(9)[(1)/(x-5)-(x+5)/(x^(2)+4)]`

D

`(1)/(9)log(x+5)-(1)/(18)log(x^(2)+4)+(5)/(18)tan^(-1)((x)/(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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