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