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- La ecuación:
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Ecuación x^2=12
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Ecuación -27x+220=-5x
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
-
Expresiones idénticas
- yexp(tres)y=(yexp(cuatro)+ uno)cos(x)
- y exponente de (3)y es igual a (y exponente de (4) más 1) coseno de (x)
- y exponente de (tres)y es igual a (y exponente de (cuatro) más uno) coseno de (x)
- yexp3y=yexp4+1cosx
-
Expresiones semejantes
- yexp(3)y=(yexp(4)-1)cos(x)
- yexp(3)y=(yexp(4)+1)cosx
-
Expresiones con funciones
- Coseno cos
- cos(2*x)+3*sin(x)+1=0
- cos(x)=4/7
- cos^2(x)=1/2
- cos2x+5sinx+2=0
- cos(x)/(sin(x)-1)=0
yexp(3)y=(yexp(4)+1)cos(x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 / 4 \ y*e *y = \y*e + 1/*cos(x)
$$y y e^{3} = \left(y e^{4} + 1\right) \cos{\left(x \right)}$$
Solución detallada
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$y y e^{3} = \left(y e^{4} + 1\right) \cos{\left(x \right)}$$
en
$$y y e^{3} - \left(y e^{4} + 1\right) \cos{\left(x \right)} = 0$$
Abramos la expresión en la ecuación
$$y y e^{3} - \left(y e^{4} + 1\right) \cos{\left(x \right)} = 0$$
Obtenemos la ecuación cuadrática
$$y y e^{3} - y e^{4} \cos{\left(x \right)} - \cos{\left(x \right)} = 0$$
Es la ecuación de la forma
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = e^{3}$$
$$b = - e^{4} \cos{\left(x \right)}$$
$$c = - \cos{\left(x \right)}$$
, entonces
La ecuación tiene dos raíces.
o
$$y_{1} = \frac{\sqrt{e^{8} \cos^{2}{\left(x \right)} + 4 e^{3} \cos{\left(x \right)}} + e^{4} \cos{\left(x \right)}}{2 e^{3}}$$
$$y_{2} = \frac{- \sqrt{e^{8} \cos^{2}{\left(x \right)} + 4 e^{3} \cos{\left(x \right)}} + e^{4} \cos{\left(x \right)}}{2 e^{3}}$$
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$y y e^{3} = \left(y e^{4} + 1\right) \cos{\left(x \right)}$$
en
$$y y e^{3} - \left(y e^{4} + 1\right) \cos{\left(x \right)} = 0$$
Abramos la expresión en la ecuación
$$y y e^{3} - \left(y e^{4} + 1\right) \cos{\left(x \right)} = 0$$
Obtenemos la ecuación cuadrática
$$y y e^{3} - y e^{4} \cos{\left(x \right)} - \cos{\left(x \right)} = 0$$
Es la ecuación de la forma
a*y^2 + b*y + c = 0
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = e^{3}$$
$$b = - e^{4} \cos{\left(x \right)}$$
$$c = - \cos{\left(x \right)}$$
, entonces
D = b^2 - 4 * a * c =
(-cos(x)*exp(4))^2 - 4 * (exp(3)) * (-cos(x)) = cos(x)^2*exp(8) + 4*cos(x)*exp(3)
La ecuación tiene dos raíces.
y1 = (-b + sqrt(D)) / (2*a)
y2 = (-b - sqrt(D)) / (2*a)
o
$$y_{1} = \frac{\sqrt{e^{8} \cos^{2}{\left(x \right)} + 4 e^{3} \cos{\left(x \right)}} + e^{4} \cos{\left(x \right)}}{2 e^{3}}$$
$$y_{2} = \frac{- \sqrt{e^{8} \cos^{2}{\left(x \right)} + 4 e^{3} \cos{\left(x \right)}} + e^{4} \cos{\left(x \right)}}{2 e^{3}}$$
Gráfica
Respuesta rápida
[src]
/ __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \
| / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ |
| 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 | 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2
|- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e I*|- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e
\ \ 2 / / \ \ 2 / /
y1 = -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$y_{1} = \frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}$$
/ __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \
| / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ |
|4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 |4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2
|\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e I*|\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e
\ \ 2 / / \ \ 2 / /
y2 = ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$y_{2} = \frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}$$
y2 = i*(((-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x)))^2 + ((exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)^2)^(1/4)*sin(atan2(-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x), (exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)/2) - exp(5/2)*sin(re(x))*sinh(im(x)))*exp(-3/2)/2 + (((-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x)))^2 + ((exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)^2)^(1/4)*cos(atan2(-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x)), (exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)/2) + exp(5/2)*cos(re(x))*cosh(im(x)))*exp(-3/2)/2)
Suma y producto de raíces
[src]
suma
/ __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \
| / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ |
| 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 | 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2 |4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 |4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2
|- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e I*|- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e |\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e I*|\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e
\ \ 2 / / \ \ 2 / / \ \ 2 / / \ \ 2 / /
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2
$$\left(\frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right) + \left(\frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right)$$
=
/ __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \
| / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ |
|4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 | 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 |4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2 | 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2
|\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e |- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e I*|\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e I*|- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e
\ \ 2 / / \ \ 2 / / \ \ 2 / / \ \ 2 / /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2
$$\frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}$$
producto
// __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \ \ // __________________________________________________________________________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________________________________________________________________________ \ \ || / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | || / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | / 2 2 / / / 5\ 5 / 5\ 2 2 5\\ | | || 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 | 4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2| ||4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2| -3/2 |4 / // 5\ 2 2 5\ / / 5\ 5 \ |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /| 5/2 | -3/2| ||- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e I*|- \/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e | ||\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e |*e I*|\/ \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e / + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/ *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e *sin(re(x))*sinh(im(x))|*e | |\ \ 2 / / \ \ 2 / / | |\ \ 2 / / \ \ 2 / / | |-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 /
$$\left(\frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right) \left(\frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right)$$
=
/ _______________________________________________________________________________________________________________________________________________________ \ _______________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________
| / 2 2 / / 5 2 2 5 2 2 5\\ / / 5 2 2 5 2 2 5\\ | / 2 2 / / 5 2 2 5 2 2 5\\ / 2 2 / / 5 2 2 5 2 2 5\\
| / / 2 2 5 2 2 5\ / 5\ 2 2 |atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e - sin (re(x))*sinh (im(x))*e /| -3 |atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e - sin (re(x))*sinh (im(x))*e /| | / / 2 2 5 2 2 5\ / 5\ 2 2 2|atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e - sin (re(x))*sinh (im(x))*e /| -3 / / 2 2 5 2 2 5\ / 5\ 2 2 2|atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e - sin (re(x))*sinh (im(x))*e /| -3
|\/ \4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e - sin (re(x))*sinh (im(x))*e / + 4*\2 + cos(re(x))*cosh(im(x))*e / *sin (re(x))*sinh (im(x)) *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 2 | \/ \4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e - sin (re(x))*sinh (im(x))*e / + 4*\2 + cos(re(x))*cosh(im(x))*e / *sin (re(x))*sinh (im(x)) *cos |---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e 2 2 2 \/ \4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e - sin (re(x))*sinh (im(x))*e / + 4*\2 + cos(re(x))*cosh(im(x))*e / *sin (re(x))*sinh (im(x)) *sin |---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e 2 2 2
| \ 2 / \ 2 / cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))| \ 2 / sin (re(x))*sinh (im(x))*e \ 2 / cos (re(x))*cosh (im(x))*e
- I*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------
\ 2 2 / 4 4 4 4
$$\frac{\sqrt{4 \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 2\right)^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \left(- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)}}{4 e^{3}} - \frac{\sqrt{4 \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 2\right)^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \left(- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)}}{4 e^{3}} - i \left(\frac{\sqrt{4 \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 2\right)^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \left(- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)}}{2 e^{3}} + \frac{e^{2} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2}\right) - \frac{e^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{e^{2} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}{4}$$
-i*(sqrt((4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))^2 + 4*(2 + cos(re(x))*cosh(im(x))*exp(5))^2*sin(re(x))^2*sinh(im(x))^2)*cos(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)*exp(-3)*sin(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)/2 + cos(re(x))*cosh(im(x))*exp(2)*sin(re(x))*sinh(im(x))/2) - sqrt((4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))^2 + 4*(2 + cos(re(x))*cosh(im(x))*exp(5))^2*sin(re(x))^2*sinh(im(x))^2)*cos(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)^2*exp(-3)/4 - sin(re(x))^2*sinh(im(x))^2*exp(2)/4 + sqrt((4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))^2 + 4*(2 + cos(re(x))*cosh(im(x))*exp(5))^2*sin(re(x))^2*sinh(im(x))^2)*sin(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)^2*exp(-3)/4 + cos(re(x))^2*cosh(im(x))^2*exp(2)/4