2
3 3*asin (x)*sin(x)
asin (x)*cos(x) + -----------------
________
/ 2
\/ 1 - x
$$\cos{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)} + \frac{3 \sin{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)}}{\sqrt{1 - x^{2}}}$$
/ 2 / 2 x*asin(x) \ 6*asin(x)*cos(x)\
|- asin (x)*sin(x) + 3*|- ------- + -----------|*sin(x) + ----------------|*asin(x)
| | 2 3/2| ________ |
| | -1 + x / 2\ | / 2 |
\ \ \1 - x / / \/ 1 - x /
$$\left(3 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2}{x^{2} - 1}\right) \sin{\left(x \right)} - \sin{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)} + \frac{6 \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\right) \operatorname{asin}{\left(x \right)}$$
/ 2 2 2 \ 2
3 | 2 asin (x) 3*x *asin (x) 6*x*asin(x)| 9*asin (x)*sin(x) / 2 x*asin(x) \
- asin (x)*cos(x) + 3*|----------- + ----------- + ------------- + -----------|*sin(x) - ----------------- + 9*|- ------- + -----------|*asin(x)*cos(x)
| 3/2 3/2 5/2 2| ________ | 2 3/2|
|/ 2\ / 2\ / 2\ / 2\ | / 2 | -1 + x / 2\ |
\\1 - x / \1 - x / \1 - x / \-1 + x / / \/ 1 - x \ \1 - x / /
$$9 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2}{x^{2} - 1}\right) \cos{\left(x \right)} \operatorname{asin}{\left(x \right)} + 3 \left(\frac{3 x^{2} \operatorname{asin}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{6 x \operatorname{asin}{\left(x \right)}}{\left(x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) \sin{\left(x \right)} - \cos{\left(x \right)} \operatorname{asin}^{3}{\left(x \right)} - \frac{9 \sin{\left(x \right)} \operatorname{asin}^{2}{\left(x \right)}}{\sqrt{1 - x^{2}}}$$