________
/ ________ 2 \ 2 / 2
| / 2 x | / 2\ 2*x *\/ 1 - x
|\/ 1 - x - -----------|*acos\1 - x / + -------------------
| ________| _______________
| / 2 | / 2
\ \/ 1 - x / / / 2\
\/ 1 - \1 - x /
$$\frac{2 x^{2} \sqrt{1 - x^{2}}}{\sqrt{1 - \left(1 - x^{2}\right)^{2}}} + \left(- \frac{x^{2}}{\sqrt{1 - x^{2}}} + \sqrt{1 - x^{2}}\right) \operatorname{acos}{\left(1 - x^{2} \right)}$$
/ / ________ 2 \ ________ / 2 / 2\\\
| | / 2 x | / 2 \ / 2 | 2*x *\-1 + x /||
| 4*|- \/ 1 - x + -----------| | x | / 2\ 2*\/ 1 - x *|-1 + ---------------||
| | ________| |-3 + -------|*acos\1 - x / | 2||
| | / 2 | | 2| | / 2\ ||
| \ \/ 1 - x / \ -1 + x / \ -1 + \-1 + x / /|
x*|- ------------------------------- + --------------------------- - ------------------------------------|
| _______________ ________ _______________ |
| / 2 / 2 / 2 |
| / / 2\ \/ 1 - x / / 2\ |
\ \/ 1 - \1 - x / \/ 1 - \1 - x / /
$$x \left(- \frac{2 \sqrt{1 - x^{2}} \left(\frac{2 x^{2} \left(x^{2} - 1\right)}{\left(x^{2} - 1\right)^{2} - 1} - 1\right)}{\sqrt{1 - \left(1 - x^{2}\right)^{2}}} - \frac{4 \left(\frac{x^{2}}{\sqrt{1 - x^{2}}} - \sqrt{1 - x^{2}}\right)}{\sqrt{1 - \left(1 - x^{2}\right)^{2}}} + \frac{\left(\frac{x^{2}}{x^{2} - 1} - 3\right) \operatorname{acos}{\left(1 - x^{2} \right)}}{\sqrt{1 - x^{2}}}\right)$$
/ 2\
2 / 2 / 2\\ / ________ 2 \ ________ | 2 / 2\ |
/ 2 \ | 2*x *\-1 + x /| | / 2 x | 2 / 2 | 2 6*x *\-1 + x / | / 2 \
| x | / 2\ 6*|-1 + ---------------|*|- \/ 1 - x + -----------| 4*x *\/ 1 - x *|3 - 5*x + ---------------| 2 | x |
3*|-1 + -------| *acos\1 - x / | 2| | ________| | 2| 6*x *|-3 + -------|
| 2| | / 2\ | | / 2 | | / 2\ | | 2|
\ -1 + x / \ -1 + \-1 + x / / \ \/ 1 - x / \ -1 + \-1 + x / / \ -1 + x /
- ------------------------------ + ------------------------------------------------------ - --------------------------------------------- + -------------------------------
________ _______________ 3/2 _______________
/ 2 / 2 / 2\ ________ / 2
\/ 1 - x / / 2\ | / 2\ | / 2 / / 2\
\/ 1 - \1 - x / \1 - \1 - x / / \/ 1 - x *\/ 1 - \1 - x /
$$- \frac{4 x^{2} \sqrt{1 - x^{2}} \left(\frac{6 x^{2} \left(x^{2} - 1\right)^{2}}{\left(x^{2} - 1\right)^{2} - 1} - 5 x^{2} + 3\right)}{\left(1 - \left(1 - x^{2}\right)^{2}\right)^{\frac{3}{2}}} + \frac{6 x^{2} \left(\frac{x^{2}}{x^{2} - 1} - 3\right)}{\sqrt{1 - x^{2}} \sqrt{1 - \left(1 - x^{2}\right)^{2}}} + \frac{6 \left(\frac{x^{2}}{\sqrt{1 - x^{2}}} - \sqrt{1 - x^{2}}\right) \left(\frac{2 x^{2} \left(x^{2} - 1\right)}{\left(x^{2} - 1\right)^{2} - 1} - 1\right)}{\sqrt{1 - \left(1 - x^{2}\right)^{2}}} - \frac{3 \left(\frac{x^{2}}{x^{2} - 1} - 1\right)^{2} \operatorname{acos}{\left(1 - x^{2} \right)}}{\sqrt{1 - x^{2}}}$$