/ ___ ___ / 2 \\
| \/ 2 \/ 2 *\4*x - 1/|
-|8*x*----- - ----------------|
| 2 3 |
\ 8*x 4*x /
--------------------------------
_________________
/ 2
/ / 2 \
/ \4*x - 1/
/ 1 - -----------
/ 4
\/ 32*x
$$- \frac{8 x \frac{\sqrt{2}}{8 x^{2}} - \frac{\sqrt{2} \left(4 x^{2} - 1\right)}{4 x^{3}}}{\sqrt{1 - \frac{\left(4 x^{2} - 1\right)^{2}}{32 x^{4}}}}$$
/ / 2\\
| / 2\ | -1 + 4*x ||
| \-1 + 4*x /*|4 - ---------||
/ 2\ | | 2 ||
___ | -1 + 4*x | | \ x /|
\/ 2 *|4 - ---------|*|48 - ---------------------------|
| 2 | | / 2\ |
\ x / | | / 2\ | |
| 2 | \-1 + 4*x / | |
| x *|1 - ------------| |
| | 4 | |
\ \ 32*x / /
--------------------------------------------------------
__________________
/ 2
/ / 2\
2 / \-1 + 4*x /
64*x * / 1 - ------------
/ 4
\/ 32*x
$$\frac{\sqrt{2} \left(4 - \frac{4 x^{2} - 1}{x^{2}}\right) \left(48 - \frac{\left(4 - \frac{4 x^{2} - 1}{x^{2}}\right) \left(4 x^{2} - 1\right)}{x^{2} \left(1 - \frac{\left(4 x^{2} - 1\right)^{2}}{32 x^{4}}\right)}\right)}{64 x^{2} \sqrt{1 - \frac{\left(4 x^{2} - 1\right)^{2}}{32 x^{4}}}}$$
/ 2 2 \
| / 2\ / 2\ 2 / 2\ / 2\|
| 28*\-1 + 4*x / 5*\-1 + 4*x / / 2\ | -1 + 4*x | / 2\ | -1 + 4*x ||
| 32 - -------------- + -------------- 3*\-1 + 4*x / *|4 - ---------| 3*\-1 + 4*x /*|4 - ---------||
/ 2\ | 2 4 | 2 | | 2 ||
___ | -1 + 4*x | | x x \ x / \ x /|
\/ 2 *|4 - ---------|*|-3 - ------------------------------------ - ------------------------------- + -----------------------------|
| 2 | | / 2\ 2 / 2\ |
\ x / | | / 2\ | / 2\ | / 2\ | |
| | \-1 + 4*x / | | / 2\ | 2 | \-1 + 4*x / | |
| 64*|1 - ------------| 4 | \-1 + 4*x / | 32*x *|1 - ------------| |
| | 4 | 1024*x *|1 - ------------| | 4 | |
| \ 32*x / | 4 | \ 32*x / |
\ \ 32*x / /
-----------------------------------------------------------------------------------------------------------------------------------
__________________
/ 2
/ / 2\
3 / \-1 + 4*x /
x * / 1 - ------------
/ 4
\/ 32*x
$$\frac{\sqrt{2} \left(4 - \frac{4 x^{2} - 1}{x^{2}}\right) \left(-3 - \frac{32 - \frac{28 \left(4 x^{2} - 1\right)}{x^{2}} + \frac{5 \left(4 x^{2} - 1\right)^{2}}{x^{4}}}{64 \left(1 - \frac{\left(4 x^{2} - 1\right)^{2}}{32 x^{4}}\right)} + \frac{3 \left(4 - \frac{4 x^{2} - 1}{x^{2}}\right) \left(4 x^{2} - 1\right)}{32 x^{2} \left(1 - \frac{\left(4 x^{2} - 1\right)^{2}}{32 x^{4}}\right)} - \frac{3 \left(4 - \frac{4 x^{2} - 1}{x^{2}}\right)^{2} \left(4 x^{2} - 1\right)^{2}}{1024 x^{4} \left(1 - \frac{\left(4 x^{2} - 1\right)^{2}}{32 x^{4}}\right)^{2}}\right)}{x^{3} \sqrt{1 - \frac{\left(4 x^{2} - 1\right)^{2}}{32 x^{4}}}}$$