int(dx)/((x^(2)+a^(2))(x^(2)+b^(2))) equ...

`int(dx)/((x^(2)+a^(2))(x^(2)+b^(2)))` equals.

A

`(1)/((a^2 -b^2))[(1)/(b) tan^(-1) ((x)/(b) - (1)/(a) tan^(-1) ((x)/(a))]+c`

B

`(1)/((b^2 -a^2))[(1)/(b) tan^(-1) ((x)/(b) - (1)/(a) tan^(-1) ((x)/(a))]+c`

C

`(1)/(b) tan^(-1) ((x)/(b))-(1)/(a) tan^(-1) ((x)/(a))+C`

D

`(1)/(a) tan^(-1) ((x)/(a))-(1)/(b) tan^(-1) ((x)/(b))+C`

Verified by Experts

The correct Answer is:

A

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