3 2 1
------------- + -------------- - --------------------
________ 3/2 2 / 1 \ /1 \
/ 1 4 / 1 \ x *|1 - --|*asin|--|
/ 1 - -- x *|1 - --| | 4| | 2|
/ 4 | 4| \ x / \x /
\/ x \ x /
-----------------------------------------------------
__________
4 / /1 \
x * / asin|--|
/ | 2|
\/ \x /
$$\frac{\frac{3}{\sqrt{1 - \frac{1}{x^{4}}}} - \frac{1}{x^{2} \left(1 - \frac{1}{x^{4}}\right) \operatorname{asin}{\left(\frac{1}{x^{2}} \right)}} + \frac{2}{x^{4} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{2}}}}{x^{4} \sqrt{\operatorname{asin}{\left(\frac{1}{x^{2}} \right)}}}$$
12 22 12 3 6 9
- ------------- - -------------- - -------------- - ------------------------ + --------------------- + --------------------
________ 3/2 5/2 3/2 2 2 / 1 \ /1 \
/ 1 4 / 1 \ 8 / 1 \ 4 / 1 \ 2/1 \ 6 / 1 \ /1 \ x *|1 - --|*asin|--|
/ 1 - -- x *|1 - --| x *|1 - --| x *|1 - --| *asin |--| x *|1 - --| *asin|--| | 4| | 2|
/ 4 | 4| | 4| | 4| | 2| | 4| | 2| \ x / \x /
\/ x \ x / \ x / \ x / \x / \ x / \x /
---------------------------------------------------------------------------------------------------------------------------
__________
5 / /1 \
x * / asin|--|
/ | 2|
\/ \x /
$$\frac{- \frac{12}{\sqrt{1 - \frac{1}{x^{4}}}} + \frac{9}{x^{2} \left(1 - \frac{1}{x^{4}}\right) \operatorname{asin}{\left(\frac{1}{x^{2}} \right)}} - \frac{22}{x^{4} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{2}}} - \frac{3}{x^{4} \left(1 - \frac{1}{x^{4}}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(\frac{1}{x^{2}} \right)}} + \frac{6}{x^{6} \left(1 - \frac{1}{x^{4}}\right)^{2} \operatorname{asin}{\left(\frac{1}{x^{2}} \right)}} - \frac{12}{x^{8} \left(1 - \frac{1}{x^{4}}\right)^{\frac{5}{2}}}}{x^{5} \sqrt{\operatorname{asin}{\left(\frac{1}{x^{2}} \right)}}}$$