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

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

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

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

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

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

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