Дано
$$left(e^{2 x} sin{left (e^{x} right )} – e^{x} cos{left (e^{x} right )}right) e^{x} – e^{x} sin{left (e^{x} right )} – 2 e^{2 x} cos{left (e^{x} right )}$$
Подстановка условия
$$left(e^{2 x} sin{left (e^{x} right )} – e^{x} cos{left (e^{x} right )}right) e^{x} – e^{x} sin{left (e^{x} right )} – 2 e^{2 x} cos{left (e^{x} right )}$$
(exp(2*(1))*sin(exp((1))) – cos(exp((1)))*exp((1)))*exp((1)) – exp((1))*sin(exp((1))) – 2*cos(exp((1)))*exp(2*(1))
$$left(e^{2 (1)} sin{left (e^{(1)} right )} – e^{(1)} cos{left (e^{(1)} right )}right) e^{(1)} – e^{(1)} sin{left (e^{(1)} right )} – 2 e^{2 (1)} cos{left (e^{(1)} right )}$$
(exp(2)*sin(exp(1)) – cos(exp(1))*exp(1))*exp(1) – exp(1)*sin(exp(1)) – 2*cos(exp(1))*exp(2)
$$- 2 e^{2} cos{left (e^{1} right )} + – e sin{left (e^{1} right )} + left(- e cos{left (e^{1} right )} + e^{2} sin{left (e^{1} right )}right) e^{1}$$
E*(exp(2)*sin(E) – E*cos(E)) – E*sin(E) – 2*cos(E)*exp(2)
$$- e sin{left (e right )} – 2 e^{2} cos{left (e right )} + e left(- e cos{left (e right )} + e^{2} sin{left (e right )}right)$$
Степени
$$left(e^{2 x} sin{left (e^{x} right )} – e^{x} cos{left (e^{x} right )}right) e^{x} – 2 e^{2 x} cos{left (e^{x} right )} – e^{x} sin{left (e^{x} right )}$$
Численный ответ
(exp(2*x)*sin(exp(x)) – cos(exp(x))*exp(x))*exp(x) – exp(x)*sin(exp(x)) – 2.0*cos(exp(x))*exp(2*x)
Рациональный знаменатель
$$left(e^{2 x} sin{left (e^{x} right )} – e^{x} cos{left (e^{x} right )}right) e^{x} – 2 e^{2 x} cos{left (e^{x} right )} – e^{x} sin{left (e^{x} right )}$$
Объединение рациональных выражений
$$left(left(e^{x} sin{left (e^{x} right )} – cos{left (e^{x} right )}right) e^{x} – 2 e^{x} cos{left (e^{x} right )} – sin{left (e^{x} right )}right) e^{x}$$
Общее упрощение
/ / x 2*x / x / x x x
– sine / + e *sine / – 3*cose /*e /*e
$$left(e^{2 x} sin{left (e^{x} right )} – 3 e^{x} cos{left (e^{x} right )} – sin{left (e^{x} right )}right) e^{x}$$
Соберем выражение
$$left(e^{2 x} sin{left (e^{x} right )} – e^{x} cos{left (e^{x} right )}right) e^{x} – 2 e^{2 x} cos{left (e^{x} right )} – e^{x} sin{left (e^{x} right )}$$
3*x / x x / x / x 2*x
e *sine / – e *sine / – 3*cose /*e
$$e^{3 x} sin{left (e^{x} right )} – 3 e^{2 x} cos{left (e^{x} right )} – e^{x} sin{left (e^{x} right )}$$
Общий знаменатель
3*x / x x / x / x 2*x
e *sine / – e *sine / – 3*cose /*e
$$e^{3 x} sin{left (e^{x} right )} – 3 e^{2 x} cos{left (e^{x} right )} – e^{x} sin{left (e^{x} right )}$$
Тригонометрическая часть
/ / x 2*x / x / x x x
– sine / + e *sine / – 3*cose /*e /*e
$$left(e^{2 x} sin{left (e^{x} right )} – 3 e^{x} cos{left (e^{x} right )} – sin{left (e^{x} right )}right) e^{x}$$
Комбинаторика
/ 2*x / x / x x / x x
– – e *sine / + 3*cose /*e + sine //*e
$$- left(- e^{2 x} sin{left (e^{x} right )} + 3 e^{x} cos{left (e^{x} right )} + sin{left (e^{x} right )}right) e^{x}$$
Раскрыть выражение
/ 2*x / x / x x x x / x / x 2*x
e *sine / – cose /*e /*e – e *sine / – 2*cose /*e
$$left(e^{2 x} sin{left (e^{x} right )} – e^{x} cos{left (e^{x} right )}right) e^{x} – 2 e^{2 x} cos{left (e^{x} right )} – e^{x} sin{left (e^{x} right )}$$
