/ 5 4 2 \
2*|------------- + -------------- - --------------------|
| ________ 3/2 4 / 1 \ /1 \|
| / 1 8 / 1 \ x *|1 - --|*asin|--||
| / 1 - -- x *|1 - --| | 8| | 4||
| / 8 | 8| \ x / \x /|
\\/ x \ x / /
---------------------------------------------------------
__________
6 / /1 \
x * / asin|--|
/ | 4|
\/ \x /
$$\frac{2 \left(\frac{5}{\sqrt{1 - \frac{1}{x^{8}}}} - \frac{2}{x^{4} \left(1 - \frac{1}{x^{8}}\right) \operatorname{asin}{\left(\frac{1}{x^{4}} \right)}} + \frac{4}{x^{8} \left(1 - \frac{1}{x^{8}}\right)^{\frac{3}{2}}}\right)}{x^{6} \sqrt{\operatorname{asin}{\left(\frac{1}{x^{4}} \right)}}}$$
/ 15 38 24 6 12 15 \
4*|- ------------- - -------------- - --------------- - ------------------------ + ---------------------- + --------------------|
| ________ 3/2 5/2 3/2 2 4 / 1 \ /1 \|
| / 1 8 / 1 \ 16 / 1 \ 8 / 1 \ 2/1 \ 12 / 1 \ /1 \ x *|1 - --|*asin|--||
| / 1 - -- x *|1 - --| x *|1 - --| x *|1 - --| *asin |--| x *|1 - --| *asin|--| | 8| | 4||
| / 8 | 8| | 8| | 8| | 4| | 8| | 4| \ x / \x /|
\ \/ x \ x / \ x / \ x / \x / \ x / \x / /
---------------------------------------------------------------------------------------------------------------------------------
__________
7 / /1 \
x * / asin|--|
/ | 4|
\/ \x /
$$\frac{4 \left(- \frac{15}{\sqrt{1 - \frac{1}{x^{8}}}} + \frac{15}{x^{4} \left(1 - \frac{1}{x^{8}}\right) \operatorname{asin}{\left(\frac{1}{x^{4}} \right)}} - \frac{38}{x^{8} \left(1 - \frac{1}{x^{8}}\right)^{\frac{3}{2}}} - \frac{6}{x^{8} \left(1 - \frac{1}{x^{8}}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(\frac{1}{x^{4}} \right)}} + \frac{12}{x^{12} \left(1 - \frac{1}{x^{8}}\right)^{2} \operatorname{asin}{\left(\frac{1}{x^{4}} \right)}} - \frac{24}{x^{16} \left(1 - \frac{1}{x^{8}}\right)^{\frac{5}{2}}}\right)}{x^{7} \sqrt{\operatorname{asin}{\left(\frac{1}{x^{4}} \right)}}}$$