40*(3750*cos(5*x^2)-25000*x^4*cos(5*x^2)-7500*x^2*sin(5*x^2)-2625*sin(5*x^2)*1/(x^2)-1575*cos(5*x^2)*1/(x^4)+126*(-1+cos(5*x^2))*1/(x^8)+630*sin(5*x^2)*1/(x^6)) если x=-4 (упростите выражение)

$$40 left(- 7500 x^{2} sin{left (5 x^{2} right )} + – 25000 x^{4} cos{left (5 x^{2} right )} + 3750 cos{left (5 x^{2} right )} – frac{2625}{x^{2}} sin{left (5 x^{2} right )} – frac{1575}{x^{4}} cos{left (5 x^{2} right )} + frac{126}{x^{8}} left(cos{left (5 x^{2} right )} – 1right) + frac{630}{x^{6}} sin{left (5 x^{2} right )}right)$$

$$40 left(- 7500 x^{2} sin{left (5 x^{2} right )} + – 25000 x^{4} cos{left (5 x^{2} right )} + 3750 cos{left (5 x^{2} right )} – frac{2625}{x^{2}} sin{left (5 x^{2} right )} – frac{1575}{x^{4}} cos{left (5 x^{2} right )} + frac{126}{x^{8}} left(cos{left (5 x^{2} right )} – 1right) + frac{630}{x^{6}} sin{left (5 x^{2} right )}right)$$

40*(3750*cos(5*(-4)^2) – 25000*(-4)^4*cos(5*(-4)^2) – 7500*(-4)^2*sin(5*(-4)^2) – 2625*sin(5*(-4)^2)/(-4)^2 – 1575*cos(5*(-4)^2)/(-4)^4 + (126*(-1 + cos(5*(-4)^2)))/(-4)^8 + (630*sin(5*(-4)^2))/(-4)^6)

$$40 left(- 7500 (-4)^{2} sin{left (5 (-4)^{2} right )} + – 25000 (-4)^{4} cos{left (5 (-4)^{2} right )} + 3750 cos{left (5 (-4)^{2} right )} – frac{2625}{(-4)^{2}} sin{left (5 (-4)^{2} right )} – frac{1575}{(-4)^{4}} cos{left (5 (-4)^{2} right )} + frac{126}{(-4)^{8}} left(cos{left (5 (-4)^{2} right )} – 1right) + frac{630}{(-4)^{6}} sin{left (5 (-4)^{2} right )}right)$$

40*(3750*cos(5*(-4)^2) – 25000*(-4)^4*cos(5*(-4)^2) – 7500*(-4)^2*sin(5*(-4)^2) – 2625*sin(5*(-4)^2)/(-4)^2 – 1575*cos(5*(-4)^2)/(-4)^4 + (126*(-1 + cos(5*(-4)^2)))/(-4)^8 + (630*sin(5*(-4)^2))/(-4)^6)

$$40 left(frac{630}{left(-4right)^{6}} sin{left (5 left(-4right)^{2} right )} + frac{126}{left(-4right)^{8}} left(-1 + cos{left (5 left(-4right)^{2} right )}right) + – frac{1575}{256} cos{left (5 left(-4right)^{2} right )} + – frac{2625}{16} sin{left (5 left(-4right)^{2} right )} + – 120000 sin{left (5 left(-4right)^{2} right )} + 3750 cos{left (5 left(-4right)^{2} right )} – 6400000 cos{left (5 left(-4right)^{2} right )}right)$$

-315/4096 – 1047962607685*cos(80)/4096 – 1230478425*sin(80)/256

$$- frac{315}{4096} – frac{1230478425}{256} sin{left (80 right )} – frac{1047962607685}{4096} cos{left (80 right )}$$

$$- 1000000 x^{4} cos{left (5 x^{2} right )} – 300000 x^{2} sin{left (5 x^{2} right )} + 150000 cos{left (5 x^{2} right )} – frac{105000}{x^{2}} sin{left (5 x^{2} right )} – frac{63000}{x^{4}} cos{left (5 x^{2} right )} + frac{25200}{x^{6}} sin{left (5 x^{2} right )} + frac{1}{x^{8}} left(5040 cos{left (5 x^{2} right )} – 5040right)$$

150000.0*cos(5*x^2) + 5040.0*(-1.0 + cos(5*x^2))/x^8 + 25200.0*sin(5*x^2)/x^6 – 63000.0*cos(5*x^2)/x^4 – 300000.0*x^2*sin(5*x^2) – 105000.0*sin(5*x^2)/x^2 – 1000000.0*x^4*cos(5*x^2)

$$frac{1}{x^{20}} left(25200 x^{14} sin{left (5 x^{2} right )} + 40 x^{6} left(x^{8} left(x^{4} left(x^{2} left(- 25000 x^{4} cos{left (5 x^{2} right )} – 7500 x^{2} sin{left (5 x^{2} right )} + 3750 cos{left (5 x^{2} right )}right) – 2625 sin{left (5 x^{2} right )}right) – 1575 x^{2} cos{left (5 x^{2} right )}right) + x^{6} left(126 cos{left (5 x^{2} right )} – 126right)right)right)$$

$$frac{1}{x^{8}} left(1000 x^{4} left(5 x^{2} left(10 x^{2} left(- 6 x^{2} sin{left (5 x^{2} right )} + left(- 20 x^{4} + 3right) cos{left (5 x^{2} right )}right) – 21 sin{left (5 x^{2} right )}right) – 63 cos{left (5 x^{2} right )}right) + 25200 x^{2} sin{left (5 x^{2} right )} + 5040 cos{left (5 x^{2} right )} – 5040right)$$

/ / 2 12 / 2 10 / 2 6 / 2 4 / 2 2 / 2 8 / 2
40* -126 + 126*cos5*x / – 25000*x *cos5*x / – 7500*x *sin5*x / – 2625*x *sin5*x / – 1575*x *cos5*x / + 630*x *sin5*x / + 3750*x *cos5*x //
—————————————————————————————————————————————————
8
x

$$frac{1}{x^{8}} left(- 1000000 x^{12} cos{left (5 x^{2} right )} – 300000 x^{10} sin{left (5 x^{2} right )} + 150000 x^{8} cos{left (5 x^{2} right )} – 105000 x^{6} sin{left (5 x^{2} right )} – 63000 x^{4} cos{left (5 x^{2} right )} + 25200 x^{2} sin{left (5 x^{2} right )} + 5040 cos{left (5 x^{2} right )} – 5040right)$$

$$- 300000 x^{2} sin{left (5 x^{2} right )} – 1000000 x^{4} cos{left (5 x^{2} right )} + 150000 cos{left (5 x^{2} right )} + frac{5040}{x^{8}} left(cos{left (5 x^{2} right )} – 1right) + frac{25200}{x^{6}} sin{left (5 x^{2} right )} – frac{63000}{x^{4}} cos{left (5 x^{2} right )} – frac{105000}{x^{2}} sin{left (5 x^{2} right )}$$

/ 2 / 2 / 2 / 2
5040 / 2 4 / 2 2 / 2 105000*sin5*x / 63000*cos5*x / 5040*cos5*x / 25200*sin5*x /
– —- + 150000*cos5*x / – 1000000*x *cos5*x / – 300000*x *sin5*x / – —————- – ————— + ————– + —————
8 2 4 8 6
x x x x x

$$- 1000000 x^{4} cos{left (5 x^{2} right )} – 300000 x^{2} sin{left (5 x^{2} right )} + 150000 cos{left (5 x^{2} right )} – frac{105000}{x^{2}} sin{left (5 x^{2} right )} – frac{63000}{x^{4}} cos{left (5 x^{2} right )} + frac{25200}{x^{6}} sin{left (5 x^{2} right )} + frac{5040}{x^{8}} cos{left (5 x^{2} right )} – frac{5040}{x^{8}}$$

/ 2 2 / 2 4 / 2 6 / 2
/ 2 5040 – 5040*cos5*x / – 25200*x *sin5*x / + 63000*x *cos5*x / + 105000*x *sin5*x / 4 / 2 2 / 2
150000*cos5*x / – ————————————————————————————- – 1000000*x *cos5*x / – 300000*x *sin5*x /
8
x

$$- 1000000 x^{4} cos{left (5 x^{2} right )} – 300000 x^{2} sin{left (5 x^{2} right )} + 150000 cos{left (5 x^{2} right )} – frac{1}{x^{8}} left(105000 x^{6} sin{left (5 x^{2} right )} + 63000 x^{4} cos{left (5 x^{2} right )} – 25200 x^{2} sin{left (5 x^{2} right )} – 5040 cos{left (5 x^{2} right )} + 5040right)$$

/ 2 / 2 / / 2 / 2
2 / 2 105000*sin5*x / 63000*cos5*x / 5040* -1 + cos5*x // 25200*sin5*x / / 4 / 2
– 300000*x *sin5*x / – —————- – ————— + ——————— + ————— + 50000*3 – 20*x /*cos5*x /
2 4 8 6
x x x x

$$- 300000 x^{2} sin{left (5 x^{2} right )} + 50000 left(- 20 x^{4} + 3right) cos{left (5 x^{2} right )} – frac{105000}{x^{2}} sin{left (5 x^{2} right )} – frac{63000}{x^{4}} cos{left (5 x^{2} right )} + frac{25200}{x^{6}} sin{left (5 x^{2} right )} + frac{1}{x^{8}} left(5040 cos{left (5 x^{2} right )} – 5040right)$$

/ / 2 8 / 2 2 / 2 4 / 2 6 / 2 10 / 2 12 / 2
-40*126 – 126*cos5*x / – 3750*x *cos5*x / – 630*x *sin5*x / + 1575*x *cos5*x / + 2625*x *sin5*x / + 7500*x *sin5*x / + 25000*x *cos5*x //
—————————————————————————————————————————————————
8
x

$$- frac{1}{x^{8}} left(1000000 x^{12} cos{left (5 x^{2} right )} + 300000 x^{10} sin{left (5 x^{2} right )} – 150000 x^{8} cos{left (5 x^{2} right )} + 105000 x^{6} sin{left (5 x^{2} right )} + 63000 x^{4} cos{left (5 x^{2} right )} – 25200 x^{2} sin{left (5 x^{2} right )} – 5040 cos{left (5 x^{2} right )} + 5040right)$$

/ 5/ 2 3/ 2 2/ 2 4/ 2 / 2 / 5/ 2 2/ 2 3/ 2 4/ 2 / 2 / 5/ 2 3/ 2 2/ 2 4/ 2 / 2 / 5/ 2 2/ 2 3/ 2 4/ 2 / 2
5/ 2 3/ 2 2/ 2 4 / 5/ 2 3/ 2 2/ 2 4/ 2 / 2 2 / 5/ 2 2/ 2 3/ 2 4/ 2 / 2 40*1575*cos x / – 15750*cos x /*sin x / + 7875*sin x /*cosx // 40*2625*sin x / – 26250*cos x /*sin x / + 13125*cos x /*sinx // 40* -126 + 126*cos x / – 1260*cos x /*sin x / + 630*sin x /*cosx // 40*630*sin x / – 6300*cos x /*sin x / + 3150*cos x /*sinx // 4/ 2 / 2
150000*cos x / – 1500000*cos x /*sin x / – 1000000*x *cos x / – 10*cos x /*sin x / + 5*sin x /*cosx // – 300000*x *sin x / – 10*cos x /*sin x / + 5*cos x /*sinx // – ——————————————————————– – ——————————————————————— + ———————————————————————— + —————————————————————— + 750000*sin x /*cosx /
4 2 8 6
x x x x

$$- 1000000 x^{4} left(5 sin^{4}{left (x^{2} right )} cos{left (x^{2} right )} – 10 sin^{2}{left (x^{2} right )} cos^{3}{left (x^{2} right )} + cos^{5}{left (x^{2} right )}right) – 300000 x^{2} left(sin^{5}{left (x^{2} right )} – 10 sin^{3}{left (x^{2} right )} cos^{2}{left (x^{2} right )} + 5 sin{left (x^{2} right )} cos^{4}{left (x^{2} right )}right) + 750000 sin^{4}{left (x^{2} right )} cos{left (x^{2} right )} – 1500000 sin^{2}{left (x^{2} right )} cos^{3}{left (x^{2} right )} + 150000 cos^{5}{left (x^{2} right )} – frac{1}{x^{2}} left(105000 sin^{5}{left (x^{2} right )} – 1050000 sin^{3}{left (x^{2} right )} cos^{2}{left (x^{2} right )} + 525000 sin{left (x^{2} right )} cos^{4}{left (x^{2} right )}right) – frac{1}{x^{4}} left(315000 sin^{4}{left (x^{2} right )} cos{left (x^{2} right )} – 630000 sin^{2}{left (x^{2} right )} cos^{3}{left (x^{2} right )} + 63000 cos^{5}{left (x^{2} right )}right) + frac{1}{x^{6}} left(25200 sin^{5}{left (x^{2} right )} – 252000 sin^{3}{left (x^{2} right )} cos^{2}{left (x^{2} right )} + 126000 sin{left (x^{2} right )} cos^{4}{left (x^{2} right )}right) + frac{1}{x^{8}} left(25200 sin^{4}{left (x^{2} right )} cos{left (x^{2} right )} – 50400 sin^{2}{left (x^{2} right )} cos^{3}{left (x^{2} right )} + 5040 cos^{5}{left (x^{2} right )} – 5040right)$$