(-log(1+x))*sin(x)-120*sin(x)*1/((1+x)^6)-40*cos(x)*1/((1+x)^3)-15*sin(x)*1/((1+x)^2)+6*cos(x)*1/(1+x)+90*sin(x)*1/((1+x)^4)+144*cos(x)*1/((1+x)^5) если x=-4 (упростите выражение)

$$- log{left (x + 1 right )} sin{left (x right )} – frac{120 sin{left (x right )}}{left(x + 1right)^{6}} – frac{40 cos{left (x right )}}{left(x + 1right)^{3}} – frac{15 sin{left (x right )}}{left(x + 1right)^{2}} + frac{6 cos{left (x right )}}{x + 1} + frac{90 sin{left (x right )}}{left(x + 1right)^{4}} + frac{144 cos{left (x right )}}{left(x + 1right)^{5}}$$

$$- log{left (x + 1 right )} sin{left (x right )} – frac{120 sin{left (x right )}}{left(x + 1right)^{6}} – frac{40 cos{left (x right )}}{left(x + 1right)^{3}} – frac{15 sin{left (x right )}}{left(x + 1right)^{2}} + frac{6 cos{left (x right )}}{x + 1} + frac{90 sin{left (x right )}}{left(x + 1right)^{4}} + frac{144 cos{left (x right )}}{left(x + 1right)^{5}}$$

(-log(1 + (-4)))*sin((-4)) – 120*sin((-4))/(1 + (-4))^6 – 40*cos((-4))/(1 + (-4))^3 – 15*sin((-4))/(1 + (-4))^2 + (6*cos((-4)))/(1 + (-4)) + (90*sin((-4)))/(1 + (-4))^4 + (144*cos((-4)))/(1 + (-4))^5

$$- log{left ((-4) + 1 right )} sin{left ((-4) right )} – frac{120 sin{left ((-4) right )}}{left((-4) + 1right)^{6}} – frac{40 cos{left ((-4) right )}}{left((-4) + 1right)^{3}} – frac{15 sin{left ((-4) right )}}{left((-4) + 1right)^{2}} + frac{6 cos{left ((-4) right )}}{(-4) + 1} + frac{90 sin{left ((-4) right )}}{left((-4) + 1right)^{4}} + frac{144 cos{left ((-4) right )}}{left((-4) + 1right)^{5}}$$

(-log(1 – 4))*sin(-4) – 120*sin(-4)/(1 – 4)^6 – 40*cos(-4)/(1 – 4)^3 – 15*sin(-4)/(1 – 4)^2 + (6*cos(-4))/(1 – 4) + (90*sin(-4))/(1 – 4)^4 + (144*cos(-4))/(1 – 4)^5

$$frac{144 cos{left (-4 right )}}{left(-4 + 1right)^{5}} + frac{90 sin{left (-4 right )}}{left(-4 + 1right)^{4}} + frac{6 cos{left (-4 right )}}{-4 + 1} + – frac{15 sin{left (-4 right )}}{left(-4 + 1right)^{2}} + – frac{40 cos{left (-4 right )}}{left(-4 + 1right)^{3}} + – frac{120 sin{left (-4 right )}}{left(-4 + 1right)^{6}} + – log{left (-4 + 1 right )} sin{left (-4 right )}$$

-10*cos(4)/9 + 175*sin(4)/243 – (-log(3) – pi*i)*sin(4)

$$frac{175}{243} sin{left (4 right )} – frac{10}{9} cos{left (4 right )} – left(- log{left (3 right )} – i piright) sin{left (4 right )}$$

$$- log{left (x + 1 right )} sin{left (x right )} + frac{6 cos{left (x right )}}{x + 1} – frac{15 sin{left (x right )}}{left(x + 1right)^{2}} – frac{40 cos{left (x right )}}{left(x + 1right)^{3}} + frac{90 sin{left (x right )}}{left(x + 1right)^{4}} + frac{144 cos{left (x right )}}{left(x + 1right)^{5}} – frac{120 sin{left (x right )}}{left(x + 1right)^{6}}$$

6.0*cos(x)/(1.0 + x) + 144.0*cos(x)/(1.0 + x)^5 + 90.0*sin(x)/(1.0 + x)^4 – 1.0*log(1 + x)*sin(x) – 40.0*cos(x)/(1.0 + x)^3 – 15.0*sin(x)/(1.0 + x)^2 – 120.0*sin(x)/(1.0 + x)^6

$$frac{1}{left(x + 1right)^{21}} left(144 left(x + 1right)^{16} cos{left (x right )} + left(x + 1right)^{5} left(90 left(x + 1right)^{12} sin{left (x right )} + left(x + 1right)^{4} left(6 left(x + 1right)^{11} cos{left (x right )} + left(x + 1right) left(- 15 left(x + 1right)^{9} sin{left (x right )} + left(x + 1right)^{2} left(- 40 left(x + 1right)^{6} cos{left (x right )} + left(x + 1right)^{3} left(- left(x + 1right)^{6} log{left (x + 1 right )} sin{left (x right )} – 120 sin{left (x right )}right)right)right)right)right)right)$$

$$frac{1}{left(x + 1right)^{6}} left(6 left(x + 1right)^{5} cos{left (x right )} – 15 left(x + 1right)^{4} sin{left (x right )} – 40 left(x + 1right)^{3} cos{left (x right )} + 90 left(x + 1right)^{2} sin{left (x right )} + 144 left(x + 1right) cos{left (x right )} + left(- left(x + 1right)^{6} log{left (x + 1 right )} – 120right) sin{left (x right )}right)$$

3 4 5 2 6
-120*sin(x) + (144 + 144*x)*cos(x) – 40*(1 + x) *cos(x) – 15*(1 + x) *sin(x) + 6*(1 + x) *cos(x) + 90*(1 + x) *sin(x) – (1 + x) *log(1 + x)*sin(x)
————————————————————————————————————————————————–
6
(1 + x)

$$frac{1}{left(x + 1right)^{6}} left(- left(x + 1right)^{6} log{left (x + 1 right )} sin{left (x right )} + 6 left(x + 1right)^{5} cos{left (x right )} – 15 left(x + 1right)^{4} sin{left (x right )} – 40 left(x + 1right)^{3} cos{left (x right )} + 90 left(x + 1right)^{2} sin{left (x right )} + left(144 x + 144right) cos{left (x right )} – 120 sin{left (x right )}right)$$

$$- log{left (x + 1 right )} sin{left (x right )} – frac{120 sin{left (x right )}}{x^{6} + 6 x^{5} + 15 x^{4} + 20 x^{3} + 15 x^{2} + 6 x + 1} + frac{144 cos{left (x right )}}{x^{5} + 5 x^{4} + 10 x^{3} + 10 x^{2} + 5 x + 1} + frac{90 sin{left (x right )}}{x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1} – frac{40 cos{left (x right )}}{x^{3} + 3 x^{2} + 3 x + 1} – frac{15 sin{left (x right )}}{x^{2} + 2 x + 1} + frac{6 cos{left (x right )}}{x + 1}$$

/ 4 3 5 2 / / / 6 2 / 15 3 / / 20 4 / / 15 5 / 6 6
– -110 – 54*x – 30*x – 20*x – 6*x + 60*x /*cos(x) – 45 + x* -120 + log(1 + x) // + x *log(1 + x) / + x *60 + log(1 + x) // + x *15 + log(1 + x) // + x *log(1 + x) / + x *log(1 + x) + log(1 + x)/*sin(x)
————————————————————————————————————————————————————————————————————————
6 5 2 4 3
1 + x + 6*x + 6*x + 15*x + 15*x + 20*x

$$frac{1}{x^{6} + 6 x^{5} + 15 x^{4} + 20 x^{3} + 15 x^{2} + 6 x + 1} left(- left(- 6 x^{5} – 30 x^{4} – 20 x^{3} + 60 x^{2} – 54 x – 110right) cos{left (x right )} – left(x^{6} log{left (x + 1 right )} + x^{5} log{left (left(x + 1right)^{6} right )} + x^{4} left(log{left (left(x + 1right)^{15} right )} + 15right) + x^{3} left(log{left (left(x + 1right)^{20} right )} + 60right) + x^{2} log{left (left(x + 1right)^{15} right )} + x left(log{left (left(x + 1right)^{6} right )} – 120right) + log{left (x + 1 right )} + 45right) sin{left (x right )}right)$$

6*cos(x) 90*sin(x) 144*cos(x) 15*sin(x) 40*cos(x) 120*sin(x)
-log(1 + x)*sin(x) + ——– + ——— + ———- – ——— – ——— – ———-
1 + x 4 5 2 3 6
(1 + x) (1 + x) (1 + x) (1 + x) (1 + x)

$$- log{left (x + 1 right )} sin{left (x right )} – frac{120 sin{left (x right )}}{left(x + 1right)^{6}} + frac{144 cos{left (x right )}}{left(x + 1right)^{5}} + frac{90 sin{left (x right )}}{left(x + 1right)^{4}} – frac{40 cos{left (x right )}}{left(x + 1right)^{3}} – frac{15 sin{left (x right )}}{left(x + 1right)^{2}} + frac{6 cos{left (x right )}}{x + 1}$$

/ 4 3 5 4 2 3 6 5 2 4 3
– -110*cos(x) + 45*sin(x) + log(1 + x)*sin(x) – 120*x*sin(x) – 54*x*cos(x) – 30*x *cos(x) – 20*x *cos(x) – 6*x *cos(x) + 15*x *sin(x) + 60*x *cos(x) + 60*x *sin(x) + x *log(1 + x)*sin(x) + 6*x*log(1 + x)*sin(x) + 6*x *log(1 + x)*sin(x) + 15*x *log(1 + x)*sin(x) + 15*x *log(1 + x)*sin(x) + 20*x *log(1 + x)*sin(x)/
—————————————————————————————————————————————————————————————————————————————————————————————————————————
6
(1 + x)

$$- frac{1}{left(x + 1right)^{6}} left(x^{6} log{left (x + 1 right )} sin{left (x right )} + 6 x^{5} log{left (x + 1 right )} sin{left (x right )} – 6 x^{5} cos{left (x right )} + 15 x^{4} log{left (x + 1 right )} sin{left (x right )} + 15 x^{4} sin{left (x right )} – 30 x^{4} cos{left (x right )} + 20 x^{3} log{left (x + 1 right )} sin{left (x right )} + 60 x^{3} sin{left (x right )} – 20 x^{3} cos{left (x right )} + 15 x^{2} log{left (x + 1 right )} sin{left (x right )} + 60 x^{2} cos{left (x right )} + 6 x log{left (x + 1 right )} sin{left (x right )} – 120 x sin{left (x right )} – 54 x cos{left (x right )} + log{left (x + 1 right )} sin{left (x right )} + 45 sin{left (x right )} – 110 cos{left (x right )}right)$$

2 3 4 5 3 4
-45*sin(x) + 110*cos(x) – 60*x *cos(x) – 60*x *sin(x) – 15*x *sin(x) + 6*x *cos(x) + 20*x *cos(x) + 30*x *cos(x) + 54*x*cos(x) + 120*x*sin(x)
——————————————————————————————————————————————— – log(1 + x)*sin(x)
6 5 2 4 3
1 + x + 6*x + 6*x + 15*x + 15*x + 20*x

$$- log{left (x + 1 right )} sin{left (x right )} + frac{1}{x^{6} + 6 x^{5} + 15 x^{4} + 20 x^{3} + 15 x^{2} + 6 x + 1} left(6 x^{5} cos{left (x right )} – 15 x^{4} sin{left (x right )} + 30 x^{4} cos{left (x right )} – 60 x^{3} sin{left (x right )} + 20 x^{3} cos{left (x right )} – 60 x^{2} cos{left (x right )} + 120 x sin{left (x right )} + 54 x cos{left (x right )} – 45 sin{left (x right )} + 110 cos{left (x right )}right)$$

/ 6 5 2 4 3
40*cos(x) 15*sin(x) 6*cos(x) 90*sin(x) 144*cos(x) 120 + x *log(1 + x) + 6*x*log(1 + x) + 6*x *log(1 + x) + 15*x *log(1 + x) + 15*x *log(1 + x) + 20*x *log(1 + x) + log(1 + x)/*sin(x)
– ——— – ——— + ——– + ——— + ———- – ————————————————————————————————————————————-
3 2 1 + x 4 5 6
(1 + x) (1 + x) (1 + x) (1 + x) (1 + x)

$$frac{6 cos{left (x right )}}{x + 1} – frac{15 sin{left (x right )}}{left(x + 1right)^{2}} – frac{40 cos{left (x right )}}{left(x + 1right)^{3}} + frac{90 sin{left (x right )}}{left(x + 1right)^{4}} + frac{144 cos{left (x right )}}{left(x + 1right)^{5}} – frac{sin{left (x right )}}{left(x + 1right)^{6}} left(x^{6} log{left (x + 1 right )} + 6 x^{5} log{left (x + 1 right )} + 15 x^{4} log{left (x + 1 right )} + 20 x^{3} log{left (x + 1 right )} + 15 x^{2} log{left (x + 1 right )} + 6 x log{left (x + 1 right )} + log{left (x + 1 right )} + 120right)$$

120*sin(x) 40*cos(x) 15*sin(x) 6*cos(x) 90*sin(x) 144*cos(x)
-log(1 + x)*sin(x) – ———- – ——— – ——— + ——– + ——— + ———-
6 3 2 1 + x 4 5
(1 + x) (1 + x) (1 + x) (1 + x) (1 + x)

$$- log{left (x + 1 right )} sin{left (x right )} + frac{6 cos{left (x right )}}{x + 1} – frac{15 sin{left (x right )}}{left(x + 1right)^{2}} – frac{40 cos{left (x right )}}{left(x + 1right)^{3}} + frac{90 sin{left (x right )}}{left(x + 1right)^{4}} + frac{144 cos{left (x right )}}{left(x + 1right)^{5}} – frac{120 sin{left (x right )}}{left(x + 1right)^{6}}$$