Question

If ∫sin-1 √(x/(1 + x) dx = A(x) tan-1(√x) + B(x) + C, where C is a constant of integration, then the ordered pair (A(x), B(x)) can be :

(1) (x - 1, √x)
(2) (x + 1, √x)
(3) (x + 1, -√x)
(4) (x - 1, - √x)