sin(x) 3
4*2 *x sin(x) / 4\
- ------------ + 2 *acot\x /*cos(x)*log(2)
8
1 + x
$$- \frac{4 \cdot 2^{\sin{\left(x \right)}} x^{3}}{x^{8} + 1} + 2^{\sin{\left(x \right)}} \log{\left(2 \right)} \cos{\left(x \right)} \operatorname{acot}{\left(x^{4} \right)}$$
/ / 8 \ \
| 2 | 8*x | |
| 4*x *|-3 + ------| |
| | 8| 3 |
sin(x) | / 2 \ / 4\ \ 1 + x / 8*x *cos(x)*log(2)|
2 *|- \- cos (x)*log(2) + sin(x)/*acot\x /*log(2) + ------------------ - ------------------|
| 8 8 |
\ 1 + x 1 + x /
$$2^{\sin{\left(x \right)}} \left(- \frac{8 x^{3} \log{\left(2 \right)} \cos{\left(x \right)}}{x^{8} + 1} + \frac{4 x^{2} \left(\frac{8 x^{8}}{x^{8} + 1} - 3\right)}{x^{8} + 1} - \left(\sin{\left(x \right)} - \log{\left(2 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(2 \right)} \operatorname{acot}{\left(x^{4} \right)}\right)$$
/ / 8 16 \ \
| | 52*x 64*x | / 8 \ |
| 8*x*|3 - ------ + ---------| 2 | 8*x | |
| | 8 2| 12*x *|-3 + ------|*cos(x)*log(2)|
| | 1 + x / 8\ | 3 / 2 \ | 8| |
sin(x) | \ \1 + x / / / 2 2 \ / 4\ 12*x *\- cos (x)*log(2) + sin(x)/*log(2) \ 1 + x / |
2 *|- ---------------------------- - \1 - cos (x)*log (2) + 3*log(2)*sin(x)/*acot\x /*cos(x)*log(2) + ---------------------------------------- + ---------------------------------|
| 8 8 8 |
\ 1 + x 1 + x 1 + x /
$$2^{\sin{\left(x \right)}} \left(\frac{12 x^{3} \left(\sin{\left(x \right)} - \log{\left(2 \right)} \cos^{2}{\left(x \right)}\right) \log{\left(2 \right)}}{x^{8} + 1} + \frac{12 x^{2} \left(\frac{8 x^{8}}{x^{8} + 1} - 3\right) \log{\left(2 \right)} \cos{\left(x \right)}}{x^{8} + 1} - \frac{8 x \left(\frac{64 x^{16}}{\left(x^{8} + 1\right)^{2}} - \frac{52 x^{8}}{x^{8} + 1} + 3\right)}{x^{8} + 1} - \left(3 \log{\left(2 \right)} \sin{\left(x \right)} - \log{\left(2 \right)}^{2} \cos^{2}{\left(x \right)} + 1\right) \log{\left(2 \right)} \cos{\left(x \right)} \operatorname{acot}{\left(x^{4} \right)}\right)$$