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int(3)/((x^2+1)(x^2+4))dx=...

`int(3)/((x^2+1)(x^2+4))dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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