2 2 / 2\
1 x 2*x *\-1 + x /
------------------- + ------------------------------ + ------------------
_______________ / 2\ 3/2
/ 2 | / 2\ | / 2\ / 2\
/ / 2\ \-1 + \-1 + x / /*acos\1 - x / | / 2\ |
\/ 1 - \1 - x / \1 - \1 - x / /
-------------------------------------------------------------------------
______________
/ / 2\
\/ acos\1 - x /
$$\frac{\frac{x^{2}}{\left(\left(x^{2} - 1\right)^{2} - 1\right) \operatorname{acos}{\left(1 - x^{2} \right)}} + \frac{2 x^{2} \left(x^{2} - 1\right)}{\left(1 - \left(1 - x^{2}\right)^{2}\right)^{\frac{3}{2}}} + \frac{1}{\sqrt{1 - \left(1 - x^{2}\right)^{2}}}}{\sqrt{\operatorname{acos}{\left(1 - x^{2} \right)}}}$$
/ 2 \
| 2 / 2\ 2 2 / 2\ 2 / 2\ |
| 3 4*x 6*\-1 + x / 3*x 12*x *\-1 + x / 6*x *\-1 + x / |
x*|------------------------------ + ------------------ + ------------------ + -------------------------------- + ------------------ - -------------------------------|
|/ 2\ 3/2 3/2 3/2 5/2 2 |
|| / 2\ | / 2\ / 2\ / 2\ / 2\ / 2\ / 2\ |
|\-1 + \-1 + x / /*acos\1 - x / | / 2\ | | / 2\ | | / 2\ | 2/ 2\ | / 2\ | | / 2\ | / 2\|
\ \1 - \1 - x / / \1 - \1 - x / / \1 - \1 - x / / *acos \1 - x / \1 - \1 - x / / \-1 + \-1 + x / / *acos\1 - x //
----------------------------------------------------------------------------------------------------------------------------------------------------------------------
______________
/ / 2\
\/ acos\1 - x /
$$\frac{x \left(- \frac{6 x^{2} \left(x^{2} - 1\right)}{\left(\left(x^{2} - 1\right)^{2} - 1\right)^{2} \operatorname{acos}{\left(1 - x^{2} \right)}} + \frac{4 x^{2}}{\left(1 - \left(1 - x^{2}\right)^{2}\right)^{\frac{3}{2}}} + \frac{3 x^{2}}{\left(1 - \left(1 - x^{2}\right)^{2}\right)^{\frac{3}{2}} \operatorname{acos}^{2}{\left(1 - x^{2} \right)}} + \frac{12 x^{2} \left(x^{2} - 1\right)^{2}}{\left(1 - \left(1 - x^{2}\right)^{2}\right)^{\frac{5}{2}}} + \frac{3}{\left(\left(x^{2} - 1\right)^{2} - 1\right) \operatorname{acos}{\left(1 - x^{2} \right)}} + \frac{6 \left(x^{2} - 1\right)}{\left(1 - \left(1 - x^{2}\right)^{2}\right)^{\frac{3}{2}}}\right)}{\sqrt{\operatorname{acos}{\left(1 - x^{2} \right)}}}$$