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¿cómo vas a descomponer esta expresión en fracciones?:
2*x*(-3+4*x^2/(-1+x^2))/(-1+x^2)^2
a*b^2/(a^2-b^2)
45*x*y^2/((75*y^2))
(4-a)/12*a*a/(a^2-16)
Factorizar el polinomio:
x^n-2*x^3-n
x^a+x*b+6*a+6*b
x*a^2+b^2*x+a*b*x^2
x+9*x^4
Descomponer al cuadrado:
-y^4-2*y^2+1
-y^4+2*y^2-2
y^4-2*y^2+1
y^4+15*y^2+14
Expresiones idénticas
sin(uno /x)/x^ dos + uno /(dos *sqrt(uno -x^ dos)*sqrt(asin(x)))
seno de (1 dividir por x) dividir por x al cuadrado más 1 dividir por (2 multiplicar por raíz cuadrada de (1 menos x al cuadrado ) multiplicar por raíz cuadrada de ( ar coseno de eno de (x)))
seno de (uno dividir por x) dividir por x en el grado dos más uno dividir por (dos multiplicar por raíz cuadrada de (uno menos x en el grado dos) multiplicar por raíz cuadrada de ( ar coseno de eno de (x)))
sin(1/x)/x^2+1/(2*√(1-x^2)*√(asin(x)))
sin(1/x)/x2+1/(2*sqrt(1-x2)*sqrt(asin(x)))
sin1/x/x2+1/2*sqrt1-x2*sqrtasinx
sin(1/x)/x²+1/(2*sqrt(1-x²)*sqrt(asin(x)))
sin(1/x)/x en el grado 2+1/(2*sqrt(1-x en el grado 2)*sqrt(asin(x)))
sin(1/x)/x^2+1/(2sqrt(1-x^2)sqrt(asin(x)))
sin(1/x)/x2+1/(2sqrt(1-x2)sqrt(asin(x)))
sin1/x/x2+1/2sqrt1-x2sqrtasinx
sin1/x/x^2+1/2sqrt1-x^2sqrtasinx
sin(1 dividir por x) dividir por x^2+1 dividir por (2*sqrt(1-x^2)*sqrt(asin(x)))
Expresiones semejantes
sin(1/x)/x^2-1/(2*sqrt(1-x^2)*sqrt(asin(x)))
sin(1/x)/x^2+1/(2*sqrt(1+x^2)*sqrt(asin(x)))
sin(1/x)/x^2+1/(2*sqrt(1-x^2)*sqrt(arcsin(x)))
sin(1/x)/x^2+1/(2*sqrt(1-x^2)*sqrt(arcsinx))
Expresiones con funciones
Seno sin
sin(2*a)/(cos(2*a)-(cos(a))^2)
sin(2*a)/((2*th(a)))
sin^2a/(cosa-1)
sin((1-m)*x)/(2*(1-m))-sin((m+1)*x)/(2*(1+m))
sin((1-n)*x)/(2*(1-n))-sin((n+1)*x)/(2*(n+1))
Raíz cuadrada sqrt
sqrt((2+x)/(1+x))*(1-(2+x)/(1+x))*(-2/(1+x)-2/(2+x)+(1-(2+x)/(1+x))/(2+x))/(4*(2+x))
sqrt(2)*sqrt(pi)*(sqrt(2)/(2*sqrt(pi)))*erf(x*sqrt(2)/2)/2
sqrt(2)/(4*x^(3/2)*sqrt(1-1/(2*x))*acos(1/(sqrt(2*x))))
sqrt(2)/(2*sqrt(1-(1-x)^2/2))
sqrt(2)*(-2+3*(-1+4*x)/(2*(1+2*x))+5*(1+x-2*x^2)/(2*(1+2*x)^2))/(1+2*x)^(3/2)
Raíz cuadrada sqrt
sqrt((2+x)/(1+x))*(1-(2+x)/(1+x))*(-2/(1+x)-2/(2+x)+(1-(2+x)/(1+x))/(2+x))/(4*(2+x))
sqrt(2)*sqrt(pi)*(sqrt(2)/(2*sqrt(pi)))*erf(x*sqrt(2)/2)/2
sqrt(2)/(4*x^(3/2)*sqrt(1-1/(2*x))*acos(1/(sqrt(2*x))))
sqrt(2)/(2*sqrt(1-(1-x)^2/2))
sqrt(2)*(-2+3*(-1+4*x)/(2*(1+2*x))+5*(1+x-2*x^2)/(2*(1+2*x)^2))/(1+2*x)^(3/2)

Simplificación de expresiones/ Descomposición en fracciones simples/ sin(1/x)/x^2+1/(2*sqrt(1-x^2)*sqrt(asin(x)))

¿Cómo vas a descomponer esta sin(1/x)/x^2+1/(2sqrt(1-x^2)sqrt(asin(x))) expresión en fracciones?

Solución

Ha introducido [src]

   /1\                            
sin|-|                            
   \x/               1            
------ + -------------------------
   2          ________            
  x          /      2    _________
         2*\/  1 - x  *\/ asin(x)

$$\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{\sin{\left(\frac{1}{x} \right)}}{x^{2}}$$

sin(1/x)/x^2 + 1/((2*sqrt(1 - x^2))*sqrt(asin(x)))

Unión de expresiones racionales [src]

          ________                   
 2       /      2    _________    /1\
x  + 2*\/  1 - x  *\/ asin(x) *sin|-|
                                  \x/
-------------------------------------
             ________                
        2   /      2    _________    
     2*x *\/  1 - x  *\/ asin(x)

$$\frac{x^{2} + 2 \sqrt{1 - x^{2}} \sin{\left(\frac{1}{x} \right)} \sqrt{\operatorname{asin}{\left(x \right)}}}{2 x^{2} \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}}$$

(x^2 + 2*sqrt(1 - x^2)*sqrt(asin(x))*sin(1/x))/(2*x^2*sqrt(1 - x^2)*sqrt(asin(x)))

Potencias [src]

                              /   -I     I\
                              |   ---    -|
                              |    x     x|
            1               I*\- e    + e /
------------------------- - ---------------
     ________                        2     
    /      2    _________         2*x      
2*\/  1 - x  *\/ asin(x)

$$\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}} - \frac{i \left(e^{\frac{i}{x}} - e^{- \frac{i}{x}}\right)}{2 x^{2}}$$

                             /1\
                          sin|-|
           1                 \x/
----------------------- + ------
     __________________      2  
    / /     2\              x   
2*\/  \1 - x /*asin(x)

$$\frac{1}{2 \sqrt{\left(1 - x^{2}\right) \operatorname{asin}{\left(x \right)}}} + \frac{\sin{\left(\frac{1}{x} \right)}}{x^{2}}$$

1/(2*sqrt((1 - x^2)*asin(x))) + sin(1/x)/x^2

Combinatoria [src]

          ________                    
 2       /      2    _________    /1\ 
x  + 2*\/  1 - x  *\/ asin(x) *sin|-| 
                                  \x/ 
--------------------------------------
   2   ___________________   _________
2*x *\/ -(1 + x)*(-1 + x) *\/ asin(x)

$$\frac{x^{2} + 2 \sqrt{1 - x^{2}} \sin{\left(\frac{1}{x} \right)} \sqrt{\operatorname{asin}{\left(x \right)}}}{2 x^{2} \sqrt{- \left(x - 1\right) \left(x + 1\right)} \sqrt{\operatorname{asin}{\left(x \right)}}}$$

(x^2 + 2*sqrt(1 - x^2)*sqrt(asin(x))*sin(1/x))/(2*x^2*sqrt(-(1 + x)*(-1 + x))*sqrt(asin(x)))

Denominador racional [src]

        ________                                                 
   2   /      2        _________    /1\      2   _________    /1\
- x *\/  1 - x   - 2*\/ asin(x) *sin|-| + 2*x *\/ asin(x) *sin|-|
                                    \x/                       \x/
-----------------------------------------------------------------
                       2 /      2\   _________                   
                    2*x *\-1 + x /*\/ asin(x)

$$\frac{- x^{2} \sqrt{1 - x^{2}} + 2 x^{2} \sin{\left(\frac{1}{x} \right)} \sqrt{\operatorname{asin}{\left(x \right)}} - 2 \sin{\left(\frac{1}{x} \right)} \sqrt{\operatorname{asin}{\left(x \right)}}}{2 x^{2} \left(x^{2} - 1\right) \sqrt{\operatorname{asin}{\left(x \right)}}}$$

(-x^2*sqrt(1 - x^2) - 2*sqrt(asin(x))*sin(1/x) + 2*x^2*sqrt(asin(x))*sin(1/x))/(2*x^2*(-1 + x^2)*sqrt(asin(x)))

Respuesta numérica [src]

sin(1/x)/x^2 + 0.5*(1.0 - x^2)^(-0.5)*asin(x)^(-0.5)

sin(1/x)/x^2 + 0.5*(1.0 - x^2)^(-0.5)*asin(x)^(-0.5)

Abrimos la expresión [src]

         /      1      \
         |-------------|
   /1\   |     ________|
sin|-|   |    /      2 |
   \x/   \2*\/  1 - x  /
------ + ---------------
   2         _________  
  x        \/ asin(x)

$$\frac{\frac{1}{2} \frac{1}{\sqrt{1 - x^{2}}}}{\sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{\sin{\left(\frac{1}{x} \right)}}{x^{2}}$$

/      1      \         
|-------------|         
|     ________|      /1\
|    /      2 |   sin|-|
\2*\/  1 - x  /      \x/
--------------- + ------
    _________        2  
  \/ asin(x)        x

$$\frac{\frac{1}{2} \frac{1}{\sqrt{1 - x^{2}}}}{\sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{\sin{\left(\frac{1}{x} \right)}}{x^{2}}$$

(1/(2*sqrt(1 - x^2)))/sqrt(asin(x)) + sin(1/x)/x^2

Parte trigonométrica [src]

                                     / 1 \    
                                2*tan|---|    
            1                        \2*x/    
------------------------- + ------------------
     ________                2 /       2/ 1 \\
    /      2    _________   x *|1 + tan |---||
2*\/  1 - x  *\/ asin(x)       \        \2*x//

$$\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{2 \tan{\left(\frac{1}{2 x} \right)}}{x^{2} \left(\tan^{2}{\left(\frac{1}{2 x} \right)} + 1\right)}$$

                                     / 1 \    
                                2*cot|---|    
            1                        \2*x/    
------------------------- + ------------------
     ________                2 /       2/ 1 \\
    /      2    _________   x *|1 + cot |---||
2*\/  1 - x  *\/ asin(x)       \        \2*x//

$$\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{2 \cot{\left(\frac{1}{2 x} \right)}}{x^{2} \left(\cot^{2}{\left(\frac{1}{2 x} \right)} + 1\right)}$$

   /1   pi\                            
cos|- - --|                            
   \x   2 /               1            
----------- + -------------------------
      2            ________            
     x            /      2    _________
              2*\/  1 - x  *\/ asin(x)

$$\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{\cos{\left(- \frac{\pi}{2} + \frac{1}{x} \right)}}{x^{2}}$$

      1                      1            
-------------- + -------------------------
 2    /1   pi\        ________            
x *sec|- - --|       /      2    _________
      \x   2 /   2*\/  1 - x  *\/ asin(x)

$$\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{1}{x^{2} \sec{\left(- \frac{\pi}{2} + \frac{1}{x} \right)}}$$

    1                   1            
--------- + -------------------------
 2    /1\        ________            
x *csc|-|       /      2    _________
      \x/   2*\/  1 - x  *\/ asin(x)

$$\frac{1}{2 \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}} + \frac{1}{x^{2} \csc{\left(\frac{1}{x} \right)}}$$

1/(x^2*csc(1/x)) + 1/(2*sqrt(1 - x^2)*sqrt(asin(x)))

Denominador común [src]

          ________                   
 2       /      2    _________    /1\
x  + 2*\/  1 - x  *\/ asin(x) *sin|-|
                                  \x/
-------------------------------------
             ________                
        2   /      2    _________    
     2*x *\/  1 - x  *\/ asin(x)

$$\frac{x^{2} + 2 \sqrt{1 - x^{2}} \sin{\left(\frac{1}{x} \right)} \sqrt{\operatorname{asin}{\left(x \right)}}}{2 x^{2} \sqrt{1 - x^{2}} \sqrt{\operatorname{asin}{\left(x \right)}}}$$

(x^2 + 2*sqrt(1 - x^2)*sqrt(asin(x))*sin(1/x))/(2*x^2*sqrt(1 - x^2)*sqrt(asin(x)))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta sin(1/x)/x^2+1/(2*sqrt(1-x^2)*sqrt(asin(x))) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta sin(1/x)/x^2+1/(2sqrt(1-x^2)sqrt(asin(x))) expresión en fracciones?