___
\/ 2
---------------
___ / x\
4*\/ x *|1 + -|
\ 2/
$$\frac{\sqrt{2}}{4 \sqrt{x} \left(\frac{x}{2} + 1\right)}$$
___ /1 2 \
-\/ 2 *|- + -----|
\x 2 + x/
-------------------
___
4*\/ x *(2 + x)
$$- \frac{\sqrt{2} \cdot \left(\frac{2}{x + 2} + \frac{1}{x}\right)}{4 \sqrt{x} \left(x + 2\right)}$$
___ /3 8 4 \
\/ 2 *|-- + -------- + ---------|
| 2 2 x*(2 + x)|
\x (2 + x) /
---------------------------------
___
8*\/ x *(2 + x)
$$\frac{\sqrt{2} \cdot \left(\frac{8}{\left(x + 2\right)^{2}} + \frac{4}{x \left(x + 2\right)} + \frac{3}{x^{2}}\right)}{8 \sqrt{x} \left(x + 2\right)}$$