JEE Math Practice Question

If $$\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx$$ = A(x)$${\tan ^{ - 1}}\left( {\sqrt x } \right)$$ + B(x) + C, where C is a constant of integration, then the ordered pair (A(x), B(x)) can be :

1. A.(x + 1, -$${\sqrt x }$$)
2. B.(x + 1, $${\sqrt x }$$)
3. C.(x - 1, -$${\sqrt x }$$)
4. D.(x - 1, $${\sqrt x }$$)