/ 157 \
5*tan|8*x + ----|
/ 2/ 157 \\ \ 50*4/
|8 + 8*tan |8*x + ----||*asin(5*x) + -----------------
\ \ 50*4// ___________
/ 2
\/ 1 - 25*x
$$\left(8 \tan^{2}{\left(8 x + \frac{157}{4 \cdot 50} \right)} + 8\right) \operatorname{asin}{\left(5 x \right)} + \frac{5 \tan{\left(8 x + \frac{157}{4 \cdot 50} \right)}}{\sqrt{1 - 25 x^{2}}}$$
/ 2/157 \\ /157 \
80*|1 + tan |--- + 8*x|| 125*x*tan|--- + 8*x|
\ \200 // \200 / / 2/157 \\ /157 \
------------------------ + -------------------- + 128*|1 + tan |--- + 8*x||*asin(5*x)*tan|--- + 8*x|
___________ 3/2 \ \200 // \200 /
/ 2 / 2\
\/ 1 - 25*x \1 - 25*x /
$$\frac{125 x \tan{\left(8 x + \frac{157}{200} \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + 128 \left(\tan^{2}{\left(8 x + \frac{157}{200} \right)} + 1\right) \tan{\left(8 x + \frac{157}{200} \right)} \operatorname{asin}{\left(5 x \right)} + \frac{80 \left(\tan^{2}{\left(8 x + \frac{157}{200} \right)} + 1\right)}{\sqrt{1 - 25 x^{2}}}$$
/ 2 \
| 75*x | /157 \
125*|-1 + ----------|*tan|--- + 8*x| / 2/157 \\ /157 \ / 2/157 \\
| 2| \200 / 1920*|1 + tan |--- + 8*x||*tan|--- + 8*x| 3000*x*|1 + tan |--- + 8*x||
\ -1 + 25*x / / 2/157 \\ / 2/157 \\ \ \200 // \200 / \ \200 //
- ------------------------------------ + 1024*|1 + tan |--- + 8*x||*|1 + 3*tan |--- + 8*x||*asin(5*x) + ----------------------------------------- + ----------------------------
3/2 \ \200 // \ \200 // ___________ 3/2
/ 2\ / 2 / 2\
\1 - 25*x / \/ 1 - 25*x \1 - 25*x /
$$\frac{3000 x \left(\tan^{2}{\left(8 x + \frac{157}{200} \right)} + 1\right)}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + 1024 \left(\tan^{2}{\left(8 x + \frac{157}{200} \right)} + 1\right) \left(3 \tan^{2}{\left(8 x + \frac{157}{200} \right)} + 1\right) \operatorname{asin}{\left(5 x \right)} + \frac{1920 \left(\tan^{2}{\left(8 x + \frac{157}{200} \right)} + 1\right) \tan{\left(8 x + \frac{157}{200} \right)}}{\sqrt{1 - 25 x^{2}}} - \frac{125 \left(\frac{75 x^{2}}{25 x^{2} - 1} - 1\right) \tan{\left(8 x + \frac{157}{200} \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}}$$