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z^(((p-3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p-p^2)))
(z+1)/(z+2)^3/(z-1)
(1+(1+(1+x)/(1-3x))/(1-3\(1+x)/(1-3x)))/(-3\(1+(1+x)/(1-3x))/(1-3\(1+x)/(1-3x)))
y/(x-y)+x^2+y^2/(2*x*y-2*x^2)
Factorizar el polinomio:
y^3-6*y^2*x+12*y*x^2-8*x^3
y^3-2*y^2*z-4*y*z+8*z^2
y^3-100
y^3+2*y^2*x^2-2*x^2
Descomponer al cuadrado:
y^4+8*y^2-3
y^4+8*y^2+2
-y^4+8*y^2+1
-y^4+7*y^2+4
Expresiones idénticas
atan(x^(uno / tres))*cos(x)+sin(x)/(tres *x^(dos / tres)*(uno +x^(dos / tres)))
arco tangente de gente de (x en el grado (1 dividir por 3)) multiplicar por coseno de (x) más seno de (x) dividir por (3 multiplicar por x en el grado (2 dividir por 3) multiplicar por (1 más x en el grado (2 dividir por 3)))
arco tangente de gente de (x en el grado (uno dividir por tres)) multiplicar por coseno de (x) más seno de (x) dividir por (tres multiplicar por x en el grado (dos dividir por tres) multiplicar por (uno más x en el grado (dos dividir por tres)))
atan(x(1/3))*cos(x)+sin(x)/(3*x(2/3)*(1+x(2/3)))
atanx1/3*cosx+sinx/3*x2/3*1+x2/3
atan(x^(1/3))cos(x)+sin(x)/(3x^(2/3)(1+x^(2/3)))
atan(x(1/3))cos(x)+sin(x)/(3x(2/3)(1+x(2/3)))
atanx1/3cosx+sinx/3x2/31+x2/3
atanx^1/3cosx+sinx/3x^2/31+x^2/3
atan(x^(1 dividir por 3))*cos(x)+sin(x) dividir por (3*x^(2 dividir por 3)*(1+x^(2 dividir por 3)))
Expresiones semejantes
atan(x^(1/3))*cos(x)+sin(x)/(3*x^(2/3)*(1-x^(2/3)))
atan(x^(1/3))*cos(x)-sin(x)/(3*x^(2/3)*(1+x^(2/3)))
arctan(x^(1/3))*cos(x)+sin(x)/(3*x^(2/3)*(1+x^(2/3)))
atan(x^(1/3))*cosx+sinx/(3*x^(2/3)*(1+x^(2/3)))
Expresiones con funciones
Arcotangente arctan
atan(x/2)/16+x/(8*(4+x^2))
atan(2*x+7)*2-2*atan(2*x+7)/(1+(2*x+7)^2)+4*x/(1+(2*x+7)^2)
atan((2*x+1)/sqrt(3))/sqrt(3)-log(x^2+x+1)/(2*(1+2*x))
atan(((6*sin(x))/(1+cos(x))-2)/2^(5/2))/sqrt(2)
atan((2*x-4)/4)/16+(x-2)/(64-32*x+8*x^2)
Coseno cos
cos(x)/(cos(x+pi/6))
cos(x)^atan(x+pi/4)*(log(cos(x))/(1+(x+pi/4)^2)-atan(x+pi/4)*sin(x)/cos(x))
cos(x)/2+x/(1+x^2)-x*sin(x)/2+atan(x)
cos(x)/(1-x)^2-sin(x)/(1-x)
cos(x)/(1+sin(x))-cos(x)*sin(x)/(1+sin(x))^2
Seno sin
sin(x)^(3)/(1+cos(x))+sin(x)^(3)/(1-sin(x)^(2))
sin((x+6)/3)^3/6-1/((x+4)*log(2))/(x+4)-cos((x+6)/3)^2*sin((x+6)/3)/3
sin(x)/(a*sqrt(1-cos(x)^2/a^2))
sin(x)/(((1-tan(x/2))/(1+tan(x/2)))*(1+sin(x)))
sin(x)/((1-tan(x/2))/(1+tan(x/2)))*(1+sin(x))

Simplificación de expresiones/ Descomposición en fracciones simples/ atan(x^(1/3))*cos(x)+sin(x)/(3*x^(2/3)*(1+x^(2/3)))

¿Cómo vas a descomponer esta atan(x^(1/3))cos(x)+sin(x)/(3x^(2/3)*(1+x^(2/3))) expresión en fracciones?

Solución

Ha introducido [src]

    /3 ___\                sin(x)     
atan\\/ x /*cos(x) + -----------------
                        2/3 /     2/3\
                     3*x   *\1 + x   /

\cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \frac{\sin{\left(x \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

atan(x^(1/3))*cos(x) + sin(x)/(((3*x^(2/3))*(1 + x^(2/3))))

Simplificación general [src]

sin(x)    2/3 /     2/3\     /3 ___\       
------ + x   *\1 + x   /*atan\\/ x /*cos(x)
  3                                        
-------------------------------------------
               2/3 /     2/3\              
              x   *\1 + x   /

\frac{x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \frac{\sin{\left(x \right)}}{3}}{x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

(sin(x)/3 + x^(2/3)*(1 + x^(2/3))*atan(x^(1/3))*cos(x))/(x^(2/3)*(1 + x^(2/3)))

Respuesta numérica [src]

atan(x^(1/3))*cos(x) + 0.333333333333333*x^(-0.666666666666667)*sin(x)/(1.0 + x^0.666666666666667)

atan(x^(1/3))*cos(x) + 0.333333333333333*x^(-0.666666666666667)*sin(x)/(1.0 + x^0.666666666666667)

Denominador común [src]

     sin(x)           /3 ___\       
--------------- + atan\\/ x /*cos(x)
   2/3      4/3                     
3*x    + 3*x

\cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \frac{\sin{\left(x \right)}}{3 x^{\frac{4}{3}} + 3 x^{\frac{2}{3}}}

sin(x)/(3*x^(2/3) + 3*x^(4/3)) + atan(x^(1/3))*cos(x)

Denominador racional [src]

   2/3 /     2/3\     /3 ___\                
3*x   *\1 + x   /*atan\\/ x /*cos(x) + sin(x)
---------------------------------------------
                 2/3 /     2/3\              
              3*x   *\1 + x   /

\frac{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \sin{\left(x \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

(3*x^(2/3)*(1 + x^(2/3))*atan(x^(1/3))*cos(x) + sin(x))/(3*x^(2/3)*(1 + x^(2/3)))

Unión de expresiones racionales [src]

   2/3 /     2/3\     /3 ___\                
3*x   *\1 + x   /*atan\\/ x /*cos(x) + sin(x)
---------------------------------------------
                 2/3 /     2/3\              
              3*x   *\1 + x   /

\frac{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \sin{\left(x \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

(3*x^(2/3)*(1 + x^(2/3))*atan(x^(1/3))*cos(x) + sin(x))/(3*x^(2/3)*(1 + x^(2/3)))

Combinatoria [src]

   2/3     /3 ___\             4/3     /3 ___\                
3*x   *atan\\/ x /*cos(x) + 3*x   *atan\\/ x /*cos(x) + sin(x)
--------------------------------------------------------------
                         2/3 /     2/3\                       
                      3*x   *\1 + x   /

\frac{3 x^{\frac{4}{3}} \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + 3 x^{\frac{2}{3}} \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \sin{\left(x \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

(3*x^(2/3)*atan(x^(1/3))*cos(x) + 3*x^(4/3)*atan(x^(1/3))*cos(x) + sin(x))/(3*x^(2/3)*(1 + x^(2/3)))

Potencias [src]

    /3 ___\                sin(x)     
atan\\/ x /*cos(x) + -----------------
                      2/3 /       2/3\
                     x   *\3 + 3*x   /

\cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \frac{\sin{\left(x \right)}}{x^{\frac{2}{3}} \left(3 x^{\frac{2}{3}} + 3\right)}

/ I*x    -I*x\                 /   -I*x    I*x\
|e      e    |     /3 ___\   I*\- e     + e   /
|---- + -----|*atan\\/ x / - ------------------
\ 2       2  /                  2/3 /     2/3\ 
                             6*x   *\1 + x   /

\left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right) \operatorname{atan}{\left(\sqrt[3]{x} \right)} - \frac{i \left(e^{i x} - e^{- i x}\right)}{6 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

(exp(i*x)/2 + exp(-i*x)/2)*atan(x^(1/3)) - i*(-exp(-i*x) + exp(i*x))/(6*x^(2/3)*(1 + x^(2/3)))

Abrimos la expresión [src]

     sin(x)           /3 ___\       
--------------- + atan\\/ x /*cos(x)
   2/3      4/3                     
3*x    + 3*x

\cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \frac{\sin{\left(x \right)}}{3 x^{\frac{4}{3}} + 3 x^{\frac{2}{3}}}

sin(x)/(3*x^(2/3) + 3*x^(4/3)) + atan(x^(1/3))*cos(x)

Parte trigonométrica [src]

/       2/x\\     /3 ___\                    /x\           
|1 - tan |-||*atan\\/ x /               2*tan|-|           
\        \2//                                \2/           
------------------------- + -------------------------------
              2/x\             2/3 /     2/3\ /       2/x\\
       1 + tan |-|          3*x   *\1 + x   /*|1 + tan |-||
               \2/                            \        \2//

\frac{\left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \operatorname{atan}{\left(\sqrt[3]{x} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{2 \tan{\left(\frac{x}{2} \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)}

/        2/x\\     /3 ___\                    /x\           
|-1 + cot |-||*atan\\/ x /               2*cot|-|           
\         \2//                                \2/           
-------------------------- + -------------------------------
              2/x\              2/3 /     2/3\ /       2/x\\
       1 + cot |-|           3*x   *\1 + x   /*|1 + cot |-||
               \2/                             \        \2//

\frac{\left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right) \operatorname{atan}{\left(\sqrt[3]{x} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{2 \cot{\left(\frac{x}{2} \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)}

                           /    pi\   
                        cos|x - --|   
    /3 ___\                \    2 /   
atan\\/ x /*cos(x) + -----------------
                        2/3 /     2/3\
                     3*x   *\1 + x   /

\cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \frac{\cos{\left(x - \frac{\pi}{2} \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

    /3 ___\                           
atan\\/ x /              1            
----------- + ------------------------
   /pi    \      2/3 /     2/3\       
csc|-- - x|   3*x   *\1 + x   /*csc(x)
   \2     /

\frac{\operatorname{atan}{\left(\sqrt[3]{x} \right)}}{\csc{\left(- x + \frac{\pi}{2} \right)}} + \frac{1}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \csc{\left(x \right)}}

        1                      /3 ___\       
-----------------*sin(x) + atan\\/ x /*cos(x)
   2/3 /     2/3\                            
3*x   *\1 + x   /

\frac{1}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)} \sin{\left(x \right)} + \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)}

    /3 ___\                           
atan\\/ x /              1            
----------- + ------------------------
   sec(x)        2/3 /     2/3\       
              3*x   *\1 + x   /*csc(x)

\frac{\operatorname{atan}{\left(\sqrt[3]{x} \right)}}{\sec{\left(x \right)}} + \frac{1}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \csc{\left(x \right)}}

    /3 ___\    /    pi\         sin(x)     
atan\\/ x /*sin|x + --| + -----------------
               \    2 /      2/3 /     2/3\
                          3*x   *\1 + x   /

\sin{\left(x + \frac{\pi}{2} \right)} \operatorname{atan}{\left(\sqrt[3]{x} \right)} + \frac{\sin{\left(x \right)}}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right)}

    /3 ___\                                
atan\\/ x /                 1              
----------- + -----------------------------
   sec(x)        2/3 /     2/3\    /    pi\
              3*x   *\1 + x   /*sec|x - --|
                                   \    2 /

\frac{\operatorname{atan}{\left(\sqrt[3]{x} \right)}}{\sec{\left(x \right)}} + \frac{1}{3 x^{\frac{2}{3}} \left(x^{\frac{2}{3}} + 1\right) \sec{\left(x - \frac{\pi}{2} \right)}}

atan(x^(1/3))/sec(x) + 1/(3*x^(2/3)*(1 + x^(2/3))*sec(x - pi/2))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta atan(x^(1/3))*cos(x)+sin(x)/(3*x^(2/3)*(1+x^(2/3))) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta atan(x^(1/3))cos(x)+sin(x)/(3x^(2/3)*(1+x^(2/3))) expresión en fracciones?