/ 2\
/ 2\ \x / 7/ 2 \ / 2/ 2 \\
\x / 8/ 2 \ 16*5 *cot \log (8*x)/*\-1 - cot \log (8*x)//*log(8*x)
2*x*5 *cot \log (8*x)/*log(5) + --------------------------------------------------------
x
$$2 \cdot 5^{x^{2}} x \log{\left(5 \right)} \cot^{8}{\left(\log{\left(8 x \right)}^{2} \right)} + \frac{16 \cdot 5^{x^{2}} \left(- \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} - 1\right) \log{\left(8 x \right)} \cot^{7}{\left(\log{\left(8 x \right)}^{2} \right)}}{x}$$
/ 2\ / / 2/ 2 \\ / / 2 \ / 2 \ 2/ 2 \ 2 2 / 2/ 2 \\\ \
\x / 6/ 2 \ | 2/ 2 \ / 2 \ 8*\1 + cot \log (8*x)//*\- cot\log (8*x)/ + cot\log (8*x)/*log(8*x) + 4*cot \log (8*x)/*log (8*x) + 14*log (8*x)*\1 + cot \log (8*x)/// / 2/ 2 \\ / 2 \ |
2*5 *cot \log (8*x)/*|cot \log (8*x)/*\1 + 2*x *log(5)/*log(5) + --------------------------------------------------------------------------------------------------------------------------------------- - 32*\1 + cot \log (8*x)//*cot\log (8*x)/*log(5)*log(8*x)|
| 2 |
\ x /
$$2 \cdot 5^{x^{2}} \left(\left(2 x^{2} \log{\left(5 \right)} + 1\right) \log{\left(5 \right)} \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} - 32 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \log{\left(5 \right)} \log{\left(8 x \right)} \cot{\left(\log{\left(8 x \right)}^{2} \right)} + \frac{8 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \left(14 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \log{\left(8 x \right)}^{2} + 4 \log{\left(8 x \right)}^{2} \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + \log{\left(8 x \right)} \cot{\left(\log{\left(8 x \right)}^{2} \right)} - \cot{\left(\log{\left(8 x \right)}^{2} \right)}\right)}{x^{2}}\right) \cot^{6}{\left(\log{\left(8 x \right)}^{2} \right)}$$
/ / 2 \ \
/ 2\ | / 2/ 2 \\ | 2/ 2 \ 3/ 2 \ 2/ 2 \ 3/ 2 \ 2 4/ 2 \ 3 / 2/ 2 \\ 3 / 2/ 2 \\ / 2 \ 2 / 2/ 2 \\ / 2 \ 2/ 2 \ 3 / 2/ 2 \\| / 2/ 2 \\ / / 2 \ / 2 \ 2/ 2 \ 2 2 / 2/ 2 \\\ / 2 \ 2/ 2 \ / 2/ 2 \\ / 2 \ |
\x / 5/ 2 \ | 4*\1 + cot \log (8*x)//*\- 3*cot \log (8*x)/ - 12*cot \log (8*x)/*log(8*x) + 2*cot \log (8*x)/*log(8*x) + 12*cot \log (8*x)/*log (8*x) + 16*cot \log (8*x)/*log (8*x) + 168*\1 + cot \log (8*x)// *log (8*x) - 42*\1 + cot \log (8*x)//*cot\log (8*x)/*log(8*x) + 42*log (8*x)*\1 + cot \log (8*x)//*cot\log (8*x)/ + 176*cot \log (8*x)/*log (8*x)*\1 + cot \log (8*x)/// 3/ 2 \ 2 / 2 \ 24*\1 + cot \log (8*x)//*\- cot\log (8*x)/ + cot\log (8*x)/*log(8*x) + 4*cot \log (8*x)/*log (8*x) + 14*log (8*x)*\1 + cot \log (8*x)///*cot\log (8*x)/*log(5) 24*cot \log (8*x)/*\1 + cot \log (8*x)//*\1 + 2*x *log(5)/*log(5)*log(8*x)|
4*5 *cot \log (8*x)/*|- -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + x*cot \log (8*x)/*log (5)*\3 + 2*x *log(5)/ + -------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------|
| 3 x x |
\ x /
$$4 \cdot 5^{x^{2}} \left(x \left(2 x^{2} \log{\left(5 \right)} + 3\right) \log{\left(5 \right)}^{2} \cot^{3}{\left(\log{\left(8 x \right)}^{2} \right)} - \frac{24 \left(2 x^{2} \log{\left(5 \right)} + 1\right) \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \log{\left(5 \right)} \log{\left(8 x \right)} \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)}}{x} + \frac{24 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \left(14 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \log{\left(8 x \right)}^{2} + 4 \log{\left(8 x \right)}^{2} \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + \log{\left(8 x \right)} \cot{\left(\log{\left(8 x \right)}^{2} \right)} - \cot{\left(\log{\left(8 x \right)}^{2} \right)}\right) \log{\left(5 \right)} \cot{\left(\log{\left(8 x \right)}^{2} \right)}}{x} - \frac{4 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \left(168 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right)^{2} \log{\left(8 x \right)}^{3} + 176 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \log{\left(8 x \right)}^{3} \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 42 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \log{\left(8 x \right)}^{2} \cot{\left(\log{\left(8 x \right)}^{2} \right)} - 42 \left(\cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} + 1\right) \log{\left(8 x \right)} \cot{\left(\log{\left(8 x \right)}^{2} \right)} + 16 \log{\left(8 x \right)}^{3} \cot^{4}{\left(\log{\left(8 x \right)}^{2} \right)} + 12 \log{\left(8 x \right)}^{2} \cot^{3}{\left(\log{\left(8 x \right)}^{2} \right)} - 12 \log{\left(8 x \right)} \cot^{3}{\left(\log{\left(8 x \right)}^{2} \right)} + 2 \log{\left(8 x \right)} \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)} - 3 \cot^{2}{\left(\log{\left(8 x \right)}^{2} \right)}\right)}{x^{3}}\right) \cot^{5}{\left(\log{\left(8 x \right)}^{2} \right)}$$