What is the answer and process for this problem

Question

∫ 1 ⁄ ( √x (x + 1)) dx

Answer 1

Let u = √x

meaning u² = x

The antiderivative is arctan(u) (aka tan^-1(u)) and since we are multiplying by 2 it becomes 2arctan(u). Back substituting u = √x the result is 2arctan(√x) + C