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int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x ...

`int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x + cot^(-1)x) \ dx` equals

A

`(4x)/(pi)tan^(-1)x+(2)/(pi)ln(1+x^(2))-x+C`

B

`(4x)/(pi)tan^(-1)x-(2)/(pi)ln(1+x^(2))+x+C`

C

`(4x)/(pi)tan^(-1)x+(2)/(pi)ln(1+x^(2))+x+C`

D

`(4x)/(pi)tan^(-1)x-(2)/(pi)ln(1+x^(2))-x+C`

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