Sr Examen

Otras calculadoras

y=(1/2)sin^(3)x+C la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
       3       
    sin (x + c)
y = -----------
         2
y=sin⁡3(c+x)2y = \frac{\sin^{3}{\left(c + x \right)}}{2}
Simplificar
Gráfica
Respuesta rápida [src] 
       /     3                    3                        2                   2                                                      \       3                   3                       2                    2                                                      
       |  cos (re(c) + re(x))*sinh (im(c) + im(x))   3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))|   cosh (im(c) + im(x))*sin (re(c) + re(x))   3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x))
y1 = I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - ---------------------------------------------------------------------------------
       \                     2                                                               2                                        /                      2                                                               2
y1=i(3sin⁡2(re⁡(c)+re⁡(x))cos⁡(re⁡(c)+re⁡(x))sinh⁡(im⁡(c)+im⁡(x))cosh⁡2(im⁡(c)+im⁡(x))2−cos⁡3(re⁡(c)+re⁡(x))sinh⁡3(im⁡(c)+im⁡(x))2)+sin⁡3(re⁡(c)+re⁡(x))cosh⁡3(im⁡(c)+im⁡(x))2−3sin⁡(re⁡(c)+re⁡(x))cos⁡2(re⁡(c)+re⁡(x))sinh⁡2(im⁡(c)+im⁡(x))cosh⁡(im⁡(c)+im⁡(x))2y_{1} = i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} 
y1 = i*(3*sin(re(c) + re(x))^2*cos(re(c) + re(x))*sinh(im(c) + im(x))*cosh(im(c) + im(x))^2/2 - cos(re(c) + re(x))^3*sinh(im(c) + im(x))^3/2) + sin(re(c) + re(x))^3*cosh(im(c) + im(x))^3/2 - 3*sin(re(c) + re(x))*cos(re(c) + re(x))^2*sinh(im(c) + im(x))^2*cosh(im(c) + im(x))/2
Suma y producto de raíces [src] 
suma
  /     3                    3                        2                   2                                                      \       3                   3                       2                    2                                                      
  |  cos (re(c) + re(x))*sinh (im(c) + im(x))   3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))|   cosh (im(c) + im(x))*sin (re(c) + re(x))   3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x))
I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - ---------------------------------------------------------------------------------
  \                     2                                                               2                                        /                      2                                                               2
i(3sin⁡2(re⁡(c)+re⁡(x))cos⁡(re⁡(c)+re⁡(x))sinh⁡(im⁡(c)+im⁡(x))cosh⁡2(im⁡(c)+im⁡(x))2−cos⁡3(re⁡(c)+re⁡(x))sinh⁡3(im⁡(c)+im⁡(x))2)+sin⁡3(re⁡(c)+re⁡(x))cosh⁡3(im⁡(c)+im⁡(x))2−3sin⁡(re⁡(c)+re⁡(x))cos⁡2(re⁡(c)+re⁡(x))sinh⁡2(im⁡(c)+im⁡(x))cosh⁡(im⁡(c)+im⁡(x))2i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} 
=
  /     3                    3                        2                   2                                                      \       3                   3                       2                    2                                                      
  |  cos (re(c) + re(x))*sinh (im(c) + im(x))   3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))|   cosh (im(c) + im(x))*sin (re(c) + re(x))   3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x))
I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - ---------------------------------------------------------------------------------
  \                     2                                                               2                                        /                      2                                                               2
i(3sin⁡2(re⁡(c)+re⁡(x))cos⁡(re⁡(c)+re⁡(x))sinh⁡(im⁡(c)+im⁡(x))cosh⁡2(im⁡(c)+im⁡(x))2−cos⁡3(re⁡(c)+re⁡(x))sinh⁡3(im⁡(c)+im⁡(x))2)+sin⁡3(re⁡(c)+re⁡(x))cosh⁡3(im⁡(c)+im⁡(x))2−3sin⁡(re⁡(c)+re⁡(x))cos⁡2(re⁡(c)+re⁡(x))sinh⁡2(im⁡(c)+im⁡(x))cosh⁡(im⁡(c)+im⁡(x))2i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} 
producto
  /     3                    3                        2                   2                                                      \       3                   3                       2                    2                                                      
  |  cos (re(c) + re(x))*sinh (im(c) + im(x))   3*cosh (im(c) + im(x))*sin (re(c) + re(x))*cos(re(c) + re(x))*sinh(im(c) + im(x))|   cosh (im(c) + im(x))*sin (re(c) + re(x))   3*cos (re(c) + re(x))*sinh (im(c) + im(x))*cosh(im(c) + im(x))*sin(re(c) + re(x))
I*|- ---------------------------------------- + ---------------------------------------------------------------------------------| + ---------------------------------------- - ---------------------------------------------------------------------------------
  \                     2                                                               2                                        /                      2                                                               2
i(3sin⁡2(re⁡(c)+re⁡(x))cos⁡(re⁡(c)+re⁡(x))sinh⁡(im⁡(c)+im⁡(x))cosh⁡2(im⁡(c)+im⁡(x))2−cos⁡3(re⁡(c)+re⁡(x))sinh⁡3(im⁡(c)+im⁡(x))2)+sin⁡3(re⁡(c)+re⁡(x))cosh⁡3(im⁡(c)+im⁡(x))2−3sin⁡(re⁡(c)+re⁡(x))cos⁡2(re⁡(c)+re⁡(x))sinh⁡2(im⁡(c)+im⁡(x))cosh⁡(im⁡(c)+im⁡(x))2i \left(\frac{3 \sin^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{\cos^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2}\right) + \frac{\sin^{3}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh^{3}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} - \frac{3 \sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cos^{2}{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}}{2} 
=
                                                                                   3
(cosh(im(c) + im(x))*sin(re(c) + re(x)) + I*cos(re(c) + re(x))*sinh(im(c) + im(x))) 
------------------------------------------------------------------------------------
                                         2
(sin⁡(re⁡(c)+re⁡(x))cosh⁡(im⁡(c)+im⁡(x))+icos⁡(re⁡(c)+re⁡(x))sinh⁡(im⁡(c)+im⁡(x)))32\frac{\left(\sin{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)} + i \cos{\left(\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(c\right)} + \operatorname{im}{\left(x\right)} \right)}\right)^{3}}{2} 
(cosh(im(c) + im(x))*sin(re(c) + re(x)) + i*cos(re(c) + re(x))*sinh(im(c) + im(x)))^3/2
    © Sr Examen – Калькулятор