-8*x
3 5 -8*x 8*atan(5*x)*sin(8*x)
----- + -------------------- - 8*3 *log(3)*log(2*x) + --------------------
x / 2\ 2
\1 + 25*x /*cos(8*x) cos (8*x)
$$\frac{8 \sin{\left(8 x \right)} \operatorname{atan}{\left(5 x \right)}}{\cos^{2}{\left(8 x \right)}} + \frac{5}{\left(25 x^{2} + 1\right) \cos{\left(8 x \right)}} - 8 \cdot 3^{- 8 x} \log{\left(3 \right)} \log{\left(2 x \right)} + \frac{3^{- 8 x}}{x}$$
-8*x -8*x 2
3 64*atan(5*x) 250*x 16*3 *log(3) -8*x 2 80*sin(8*x) 128*sin (8*x)*atan(5*x)
- ----- + ------------ - --------------------- - --------------- + 64*3 *log (3)*log(2*x) + --------------------- + -----------------------
2 cos(8*x) 2 x / 2\ 2 3
x / 2\ \1 + 25*x /*cos (8*x) cos (8*x)
\1 + 25*x / *cos(8*x)
$$- \frac{250 x}{\left(25 x^{2} + 1\right)^{2} \cos{\left(8 x \right)}} + \frac{128 \sin^{2}{\left(8 x \right)} \operatorname{atan}{\left(5 x \right)}}{\cos^{3}{\left(8 x \right)}} + \frac{64 \operatorname{atan}{\left(5 x \right)}}{\cos{\left(8 x \right)}} + \frac{80 \sin{\left(8 x \right)}}{\left(25 x^{2} + 1\right) \cos^{2}{\left(8 x \right)}} + 64 \cdot 3^{- 8 x} \log{\left(3 \right)}^{2} \log{\left(2 x \right)} - \frac{16 \cdot 3^{- 8 x} \log{\left(3 \right)}}{x} - \frac{3^{- 8 x}}{x^{2}}$$
/ -8*x -8*x -8*x 2 2 3 2 \
|3 125 480 -8*x 3 12*3 *log(3) 96*3 *log (3) 960*sin (8*x) 1280*atan(5*x)*sin(8*x) 1536*sin (8*x)*atan(5*x) 12500*x 3000*x*sin(8*x) |
2*|----- - --------------------- + -------------------- - 256*3 *log (3)*log(2*x) + --------------- + ---------------- + --------------------- + ----------------------- + ------------------------ + --------------------- - ----------------------|
| 3 2 / 2\ 2 x / 2\ 3 2 4 3 2 |
| x / 2\ \1 + 25*x /*cos(8*x) x \1 + 25*x /*cos (8*x) cos (8*x) cos (8*x) / 2\ / 2\ 2 |
\ \1 + 25*x / *cos(8*x) \1 + 25*x / *cos(8*x) \1 + 25*x / *cos (8*x)/
$$2 \left(\frac{12500 x^{2}}{\left(25 x^{2} + 1\right)^{3} \cos{\left(8 x \right)}} - \frac{3000 x \sin{\left(8 x \right)}}{\left(25 x^{2} + 1\right)^{2} \cos^{2}{\left(8 x \right)}} + \frac{1536 \sin^{3}{\left(8 x \right)} \operatorname{atan}{\left(5 x \right)}}{\cos^{4}{\left(8 x \right)}} + \frac{1280 \sin{\left(8 x \right)} \operatorname{atan}{\left(5 x \right)}}{\cos^{2}{\left(8 x \right)}} + \frac{960 \sin^{2}{\left(8 x \right)}}{\left(25 x^{2} + 1\right) \cos^{3}{\left(8 x \right)}} + \frac{480}{\left(25 x^{2} + 1\right) \cos{\left(8 x \right)}} - \frac{125}{\left(25 x^{2} + 1\right)^{2} \cos{\left(8 x \right)}} - 256 \cdot 3^{- 8 x} \log{\left(3 \right)}^{3} \log{\left(2 x \right)} + \frac{96 \cdot 3^{- 8 x} \log{\left(3 \right)}^{2}}{x} + \frac{12 \cdot 3^{- 8 x} \log{\left(3 \right)}}{x^{2}} + \frac{3^{- 8 x}}{x^{3}}\right)$$