5
4*cos (x) 4
- -------------- - 5*cos (x)*acos(4*x)*sin(x)
___________
/ 2
\/ 1 - 16*x
$$- 5 \sin{\left(x \right)} \cos^{4}{\left(x \right)} \operatorname{acos}{\left(4 x \right)} - \frac{4 \cos^{5}{\left(x \right)}}{\sqrt{1 - 16 x^{2}}}$$
/ 2 \
3 | / 2 2 \ 64*x*cos (x) 40*cos(x)*sin(x)|
cos (x)*|5*\- cos (x) + 4*sin (x)/*acos(4*x) - -------------- + ----------------|
| 3/2 ___________ |
| / 2\ / 2 |
\ \1 - 16*x / \/ 1 - 16*x /
$$\left(- \frac{64 x \cos^{2}{\left(x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} + 5 \left(4 \sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \operatorname{acos}{\left(4 x \right)} + \frac{40 \sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{1 - 16 x^{2}}}\right) \cos^{3}{\left(x \right)}$$
/ / 2 \ \
| 3 | 48*x | |
| 64*cos (x)*|-1 + ----------| |
| / 2 2 \ | 2| 2 |
2 | 60*\- cos (x) + 4*sin (x)/*cos(x) / 2 2 \ \ -1 + 16*x / 960*x*cos (x)*sin(x)|
cos (x)*|- --------------------------------- - 5*\- 13*cos (x) + 12*sin (x)/*acos(4*x)*sin(x) + ---------------------------- + --------------------|
| ___________ 3/2 3/2 |
| / 2 / 2\ / 2\ |
\ \/ 1 - 16*x \1 - 16*x / \1 - 16*x / /
$$\left(\frac{960 x \sin{\left(x \right)} \cos^{2}{\left(x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}} - 5 \left(12 \sin^{2}{\left(x \right)} - 13 \cos^{2}{\left(x \right)}\right) \sin{\left(x \right)} \operatorname{acos}{\left(4 x \right)} - \frac{60 \left(4 \sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \cos{\left(x \right)}}{\sqrt{1 - 16 x^{2}}} + \frac{64 \left(\frac{48 x^{2}}{16 x^{2} - 1} - 1\right) \cos^{3}{\left(x \right)}}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}\right) \cos^{2}{\left(x \right)}$$