1
-3 + -----------
________
/ 2
\/ 1 - x (asin(x) - 3*x)*|x|
---------------- - --------------------
____ 2
/ 2 ___ / ____ \
\/ x + \/ 1 | / 2 ___|
x*\\/ x + \/ 1 /
$$\frac{-3 + \frac{1}{\sqrt{1 - x^{2}}}}{\sqrt{x^{2}} + \sqrt{1}} - \frac{\left(- 3 x + \operatorname{asin}{\left(x \right)}\right) \left|{x}\right|}{x \left(\sqrt{x^{2}} + \sqrt{1}\right)^{2}}$$
/ 1 \
/ 2 |x| sign(x)\ 2*|3 - -----------|*|x|
(-asin(x) + 3*x)*|------- + --- - -------| | ________|
|1 + |x| 2 x | | / 2 |
x \ x / \ \/ 1 - x /
----------- - ------------------------------------------ + -----------------------
3/2 1 + |x| x*(1 + |x|)
/ 2\
\1 - x /
----------------------------------------------------------------------------------
1 + |x|
$$\frac{\frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{\left(3 x - \operatorname{asin}{\left(x \right)}\right) \left(\frac{2}{\left|{x}\right| + 1} - \frac{\operatorname{sign}{\left(x \right)}}{x} + \frac{\left|{x}\right|}{x^{2}}\right)}{\left|{x}\right| + 1} + \frac{2 \left(3 - \frac{1}{\sqrt{1 - x^{2}}}\right) \left|{x}\right|}{x \left(\left|{x}\right| + 1\right)}}{\left|{x}\right| + 1}$$
2 / 1 \ / 2 |x| sign(x)\
3*x 3*|3 - -----------|*|------- + --- - -------| / 1 |x| sign(x) 3*|x| |x|*sign(x) \
-1 + ------- | ________| |1 + |x| 2 x | 2*(-asin(x) + 3*x)*|------- + --- - ------- + ---------- - ----------- + DiracDelta(x)|
2 | / 2 | \ x / |1 + |x| 2 x 2 x*(1 + |x|) |
-1 + x 3*|x| \ \/ 1 - x / \ x (1 + |x|) /
- ------------ - --------------------- - --------------------------------------------- + ---------------------------------------------------------------------------------------
3/2 3/2 1 + |x| x*(1 + |x|)
/ 2\ / 2\
\1 - x / \1 - x / *(1 + |x|)
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 + |x|
$$\frac{- \frac{3 \left(3 - \frac{1}{\sqrt{1 - x^{2}}}\right) \left(\frac{2}{\left|{x}\right| + 1} - \frac{\operatorname{sign}{\left(x \right)}}{x} + \frac{\left|{x}\right|}{x^{2}}\right)}{\left|{x}\right| + 1} - \frac{\frac{3 x^{2}}{x^{2} - 1} - 1}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3 \left|{x}\right|}{\left(1 - x^{2}\right)^{\frac{3}{2}} \left(\left|{x}\right| + 1\right)} + \frac{2 \left(3 x - \operatorname{asin}{\left(x \right)}\right) \left(\delta\left(x\right) + \frac{1}{\left|{x}\right| + 1} + \frac{3 \left|{x}\right|}{\left(\left|{x}\right| + 1\right)^{2}} - \frac{\operatorname{sign}{\left(x \right)}}{x} - \frac{\left|{x}\right| \operatorname{sign}{\left(x \right)}}{x \left(\left|{x}\right| + 1\right)} + \frac{\left|{x}\right|}{x^{2}}\right)}{x \left(\left|{x}\right| + 1\right)}}{\left|{x}\right| + 1}$$