Indefinite Integration

$$\frac{1}{2}(x+1) \begin{aligned} & \sqrt{x^2+2 x+5}+2 \log \mid x+1+ \sqrt{x^2+2 x+5 \mid}+C \end{aligned} $$

$\left.(x+1) \sqrt{x^2+2 x+5}+\frac{1}{2} \log \right\rvert\, x+1+\sqrt{x^2+2 x+5}+C $

$(x+1) \sqrt{x^2+2 x+5}+2 \log \mid x+1+\sqrt{x^2+2 x+5}+C $

$(x+1) \sqrt{x^2+2 x+5}-2 \log \mid x+1+\sqrt{x^2+2 x+5}+C $