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

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

A

`(1)/(3 ) tan^(-1) x-(1)/(3) tan^(-1) ""(x)/(2) +c`

B

`1/3 tan^(-1) ""x + (1)/(3) tan^(-1)"" (x)/(2 ) +c`

C

`(1)/(3)tan^(-1) x-(1)/(6) tan^(-1)"" (x)/(2) +c`

D

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

Verified by Experts

The correct Answer is:

C

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