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