JEE Math Practice Question

If $$\int {{{dx} \over {{{\left( {{x^2} - 2x + 10} \right)}^2}}}} = A\left( {{{\tan }^{ - 1}}\left( {{{x - 1} \over 3}} \right) + {{f\left( x \right)} \over {{x^2} - 2x + 10}}} \right) + C$$ where C is a constant of integration then :

1. A.A =$${1 \over {54}}$$ and f(x) = 9(x–1)2
2. B.A =$${1 \over {54}}$$ and f(x) = 3(x–1)
3. C.A =$${1 \over {81}}$$ and f(x) = 3(x–1)
4. D.A =$${1 \over {27}}$$ and f(x) = 9(x–1)2