solve $\int \frac{dx}{3+\sqrt{x+2}}$ 
$$\int \frac{dx}{3+\sqrt{x+2}}$$

How should I approach this? U-substituion does not seem to work

Let $y = x + 2, dy = dx$.
$$ \int \frac{dx}{3+\sqrt{x+2}} = \int \frac{dy}{\sqrt{y} + 3}
$$
Let $z = \sqrt{y}, dz = dy/(2\sqrt{y})$.
$$ \int \frac{dy}{\sqrt{y} + 3} = \int \frac{2\sqrt{y} dz}{z+3} = 2\int \frac{z}{z+3} dz
$$
Then do partial fraction decomposition.
