(-20*sin(2*x)^(18/5)-(-1)*(45*sin(2*x)^(8/5)))*1/144 если x=1 (упростите выражение)

$$frac{1}{144} left(- 20 sin^{frac{18}{5}}{left (2 x right )} – – 45 sin^{frac{8}{5}}{left (2 x right )}right)$$

$$frac{1}{144} left(- 20 sin^{frac{18}{5}}{left (2 x right )} – – 45 sin^{frac{8}{5}}{left (2 x right )}right)$$

(-20*sin(2*(1))^(18/5) – (-1)*45*sin(2*(1))^(8/5))/144

$$frac{1}{144} left(- 20 sin^{frac{18}{5}}{left (2 (1) right )} – – 45 sin^{frac{8}{5}}{left (2 (1) right )}right)$$

(-20*sin(2)^(18/5) – (-1)*45*sin(2)^(8/5))/144

$$frac{1}{144} left(- 20 sin^{frac{18}{5}}{left (2 right )} – – 45 sin^{frac{8}{5}}{left (2 right )}right)$$

-5*sin(2)^(18/5)/36 + 5*sin(2)^(8/5)/16

$$- frac{5}{36} sin^{frac{18}{5}}{left (2 right )} + frac{5}{16} sin^{frac{8}{5}}{left (2 right )}$$

$$- frac{5}{36} sin^{frac{18}{5}}{left (2 x right )} + frac{5}{16} sin^{frac{8}{5}}{left (2 x right )}$$

0.3125*sin(2*x)^1.6 – 0.138888888888889*sin(2*x)^3.6

$$- frac{5}{36} sin^{frac{18}{5}}{left (2 x right )} + frac{5}{16} sin^{frac{8}{5}}{left (2 x right )}$$

$$frac{5}{144} left(- 4 sin^{2}{left (2 x right )} + 9right) sin^{frac{8}{5}}{left (2 x right )}$$

8/5
5*sin (2*x)*(7 + 2*cos(4*x))
——————————
144

$$frac{5}{144} left(2 cos{left (4 x right )} + 7right) sin^{frac{8}{5}}{left (2 x right )}$$

$$- frac{5}{36} sin^{frac{18}{5}}{left (2 x right )} – – frac{5}{16} sin^{frac{8}{5}}{left (2 x right )}$$

18/5 8/5
5*sin (2*x) 5*sin (2*x)
– ————– + ————-
36 16

$$- frac{5}{36} sin^{frac{18}{5}}{left (2 x right )} + frac{5}{16} sin^{frac{8}{5}}{left (2 x right )}$$

18/5 8/5
5*sin (2*x) 5*sin (2*x)
– ————– + ————-
36 16

$$- frac{5}{36} sin^{frac{18}{5}}{left (2 x right )} + frac{5}{16} sin^{frac{8}{5}}{left (2 x right )}$$

8/5 / 2
5*sin (2*x)*9 – 4*sin (2*x)/
——————————-
144

$$frac{5}{144} left(- 4 sin^{2}{left (2 x right )} + 9right) sin^{frac{8}{5}}{left (2 x right )}$$

8/5
-5*sin (2*x)*(-3 + 2*sin(2*x))*(3 + 2*sin(2*x))
————————————————-
144

$$- frac{5}{144} left(2 sin{left (2 x right )} – 3right) left(2 sin{left (2 x right )} + 3right) sin^{frac{8}{5}}{left (2 x right )}$$

3/5 18/5 18/5 3/5 8/5 8/5
10*2 *cos (x)*sin (x) 5*2 *cos (x)*sin (x)
– —————————– + ————————–
9 8

$$- frac{10}{9} 2^{frac{3}{5}} sin^{frac{18}{5}}{left (x right )} cos^{frac{18}{5}}{left (x right )} + frac{5}{8} 2^{frac{3}{5}} sin^{frac{8}{5}}{left (x right )} cos^{frac{8}{5}}{left (x right )}$$