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¿cómo vas a descomponer esta expresión en fracciones?:
(s+3)/(5*s+15)
c^(k+5)*c^k/(c^2)^k
-2/((((x+1)^2/(1-x)^2)+1)*(1-x)^2)
(z+1)/(z+2)^3/(z-1)
Factorizar el polinomio:
y^3+y
y^3-6*y^2*x+12*y*x^2-8*x^3
z^3+5*z^2
y^3-3*y^2+6*y-8
Descomponer al cuadrado:
-y^4+8*y^2+2
y^4+8*y^2-3
-y^4-7*y^2-9
y^4+8*y^2-1
Expresiones idénticas
cos(x)^acot(x)*(-log(cos(x))/(uno +x^ dos)-acot(x)*sin(x)/cos(x))
coseno de (x) en el grado arcoco tangente de gente de (x) multiplicar por ( menos logaritmo de ( coseno de (x)) dividir por (1 más x al cuadrado ) menos arcoco tangente de gente de (x) multiplicar por seno de (x) dividir por coseno de (x))
coseno de (x) en el grado arcoco tangente de gente de (x) multiplicar por ( menos logaritmo de ( coseno de (x)) dividir por (uno más x en el grado dos) menos arcoco tangente de gente de (x) multiplicar por seno de (x) dividir por coseno de (x))
cos(x)acot(x)*(-log(cos(x))/(1+x2)-acot(x)*sin(x)/cos(x))
cosxacotx*-logcosx/1+x2-acotx*sinx/cosx
cos(x)^acot(x)*(-log(cos(x))/(1+x²)-acot(x)*sin(x)/cos(x))
cos(x) en el grado acot(x)*(-log(cos(x))/(1+x en el grado 2)-acot(x)*sin(x)/cos(x))
cos(x)^acot(x)(-log(cos(x))/(1+x^2)-acot(x)sin(x)/cos(x))
cos(x)acot(x)(-log(cos(x))/(1+x2)-acot(x)sin(x)/cos(x))
cosxacotx-logcosx/1+x2-acotxsinx/cosx
cosx^acotx-logcosx/1+x^2-acotxsinx/cosx
cos(x)^acot(x)*(-log(cos(x)) dividir por (1+x^2)-acot(x)*sin(x) dividir por cos(x))
Expresiones semejantes
cos(x)^acot(x)*(log(cos(x))/(1+x^2)-acot(x)*sin(x)/cos(x))
cos(x)^acot(x)*(-log(cos(x))/(1-x^2)-acot(x)*sin(x)/cos(x))
cos(x)^acot(x)*(-log(cos(x))/(1+x^2)+acot(x)*sin(x)/cos(x))
cos(x)^arccot(x)*(-log(cos(x))/(1+x^2)-arccot(x)*sin(x)/cos(x))
cosx^arccotx*(-log(cosx)/(1+x^2)-arccotx*sinx/cosx)
Expresiones con funciones
Coseno cos
cos(2*t)*x/(cos(t)+sin(x))-cos(t)
cos(x)*(-sin(x)-(cos(x)*sin(x)))/sqrt(1+cos(x)^(2))/(cos(x)+sqrt(1+cos(x)^(2)))
cos(x)/acos(x)+sin(x)/(sqrt(1-x^2)*acos(x)^2)
cos(x)/2+x/(1+x^2)-x*sin(x)/2+atan(x)
cos(x)^2*(-2+9*x^2)/(2*x-3*x^3)^2-2*cos(x)*sin(x)/(2*x-3*x^3)
Arcocotangente arccot
acot(5*x)^4/(x-5)-20*acot(5*x)^3*log(x-5)/(1+25*x^2)
Logaritmo log
log(x+1)/4-x/(2*x^2-2)-log(x-1)/4
log(x)^(3/(x+3))*log(x)^2*log(x/4)/x
log(x+1)/4-log(x-1)/4-x/(2*x^2-2)
log(x^2+1)/4+log(x+1)/4+atan(x)/2+log(x-1)/4-1/(2*x-2)
log((sqrt(x^2+2)-x*sqrt(3))/(sqrt(x^2+2)+x*sqrt(3)))/log(10)
Coseno cos
cos(2*t)*x/(cos(t)+sin(x))-cos(t)
cos(x)*(-sin(x)-(cos(x)*sin(x)))/sqrt(1+cos(x)^(2))/(cos(x)+sqrt(1+cos(x)^(2)))
cos(x)/acos(x)+sin(x)/(sqrt(1-x^2)*acos(x)^2)
cos(x)/2+x/(1+x^2)-x*sin(x)/2+atan(x)
cos(x)^2*(-2+9*x^2)/(2*x-3*x^3)^2-2*cos(x)*sin(x)/(2*x-3*x^3)
Arcocotangente arccot
acot(5*x)^4/(x-5)-20*acot(5*x)^3*log(x-5)/(1+25*x^2)
Seno sin
sin(x)-cos(3*pi/(2-x))+cot(3*pi/(2+x))+cot(x)
sin(x)/(a*sqrt(1-cos(x)^((2/a)^2)))
sin(x)/4-1/(sin(x)*4)-cos(x)/4
sin(x)^(3)/(1+cos(x))+sin(x)^(3)/(1-x)
sin(x/3)^3/(1+x^2)+sin(x/3)^2*atan(x)*cos(x/3)
Coseno cos
cos(2*t)*x/(cos(t)+sin(x))-cos(t)
cos(x)*(-sin(x)-(cos(x)*sin(x)))/sqrt(1+cos(x)^(2))/(cos(x)+sqrt(1+cos(x)^(2)))
cos(x)/acos(x)+sin(x)/(sqrt(1-x^2)*acos(x)^2)
cos(x)/2+x/(1+x^2)-x*sin(x)/2+atan(x)
cos(x)^2*(-2+9*x^2)/(2*x-3*x^3)^2-2*cos(x)*sin(x)/(2*x-3*x^3)

Simplificación de expresiones/ Descomposición en fracciones simples/ cos(x)^acot(x)*(-log(cos(x))/(1+x^2)-acot(x)*sin(x)/cos(x))

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

Solución

Ha introducido [src]

   acot(x)    /-log(cos(x))    acot(x)*sin(x)\
cos       (x)*|------------- - --------------|
              |         2          cos(x)    |
              \    1 + x                     /

$$\left(- \frac{\sin{\left(x \right)} \operatorname{acot}{\left(x \right)}}{\cos{\left(x \right)}} + \frac{\left(-1\right) \log{\left(\cos{\left(x \right)} \right)}}{x^{2} + 1}\right) \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)}$$

cos(x)^acot(x)*((-log(cos(x)))/(1 + x^2) - acot(x)*sin(x)/cos(x))

Simplificación general [src]

    -1 + acot(x)    /                     /     2\               \ 
-cos            (x)*\cos(x)*log(cos(x)) + \1 + x /*acot(x)*sin(x)/ 
-------------------------------------------------------------------
                                    2                              
                               1 + x

$$- \frac{\left(\left(x^{2} + 1\right) \sin{\left(x \right)} \operatorname{acot}{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)}\right) \cos^{\operatorname{acot}{\left(x \right)} - 1}{\left(x \right)}}{x^{2} + 1}$$

-cos(x)^(-1 + acot(x))*(cos(x)*log(cos(x)) + (1 + x^2)*acot(x)*sin(x))/(1 + x^2)

Potencias [src]

   acot(x)    /  log(cos(x))   acot(x)*sin(x)\
cos       (x)*|- ----------- - --------------|
              |          2         cos(x)    |
              \     1 + x                    /

$$\left(- \frac{\sin{\left(x \right)} \operatorname{acot}{\left(x \right)}}{\cos{\left(x \right)}} - \frac{\log{\left(\cos{\left(x \right)} \right)}}{x^{2} + 1}\right) \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)}$$

                      /     / I*x    -I*x\                             \
              acot(x) |     |e      e    |                             |
/ I*x    -I*x\        |  log|---- + -----|     /   -I*x    I*x\        |
|e      e    |        |     \ 2       2  /   I*\- e     + e   /*acot(x)|
|---- + -----|       *|- ----------------- + --------------------------|
\ 2       2  /        |             2               / I*x    -I*x\     |
                      |        1 + x                |e      e    |     |
                      |                           2*|---- + -----|     |
                      \                             \ 2       2  /     /

$$\left(\frac{i \left(e^{i x} - e^{- i x}\right) \operatorname{acot}{\left(x \right)}}{2 \left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right)} - \frac{\log{\left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2} \right)}}{x^{2} + 1}\right) \left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right)^{\operatorname{acot}{\left(x \right)}}$$

(exp(i*x)/2 + exp(-i*x)/2)^acot(x)*(-log(exp(i*x)/2 + exp(-i*x)/2)/(1 + x^2) + i*(-exp(-i*x) + exp(i*x))*acot(x)/(2*(exp(i*x)/2 + exp(-i*x)/2)))

Denominador común [src]

 /   acot(x)                        acot(x)                          2    acot(x)                  \ 
-\cos       (x)*acot(x)*sin(x) + cos       (x)*cos(x)*log(cos(x)) + x *cos       (x)*acot(x)*sin(x)/ 
-----------------------------------------------------------------------------------------------------
                                           2                                                         
                                          x *cos(x) + cos(x)

$$- \frac{x^{2} \sin{\left(x \right)} \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)} \operatorname{acot}{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)} \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)} + \sin{\left(x \right)} \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)} \operatorname{acot}{\left(x \right)}}{x^{2} \cos{\left(x \right)} + \cos{\left(x \right)}}$$

-(cos(x)^acot(x)*acot(x)*sin(x) + cos(x)^acot(x)*cos(x)*log(cos(x)) + x^2*cos(x)^acot(x)*acot(x)*sin(x))/(x^2*cos(x) + cos(x))

Denominador racional [src]

   acot(x)    /                      /     2\               \
cos       (x)*\-cos(x)*log(cos(x)) - \1 + x /*acot(x)*sin(x)/
-------------------------------------------------------------
                       /     2\                              
                       \1 + x /*cos(x)

$$\frac{\left(- \left(x^{2} + 1\right) \sin{\left(x \right)} \operatorname{acot}{\left(x \right)} - \log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)}\right) \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)}}{\left(x^{2} + 1\right) \cos{\left(x \right)}}$$

cos(x)^acot(x)*(-cos(x)*log(cos(x)) - (1 + x^2)*acot(x)*sin(x))/((1 + x^2)*cos(x))

Abrimos la expresión [src]

     acot(x)                     acot(x)                  
  cos       (x)*log(cos(x))   cos       (x)*acot(x)*sin(x)
- ------------------------- - ----------------------------
                 2                       cos(x)           
            1 + x

$$- \frac{\sin{\left(x \right)} \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)} \operatorname{acot}{\left(x \right)}}{\cos{\left(x \right)}} - \frac{\log{\left(\cos{\left(x \right)} \right)} \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)}}{x^{2} + 1}$$

-cos(x)^acot(x)*log(cos(x))/(1 + x^2) - cos(x)^acot(x)*acot(x)*sin(x)/cos(x)

Compilar la expresión [src]

   acot(x)    /  log(cos(x))   acot(x)*sin(x)\
cos       (x)*|- ----------- - --------------|
              |          2         cos(x)    |
              \     1 + x                    /

cos(x)^acot(x)*(-log(cos(x))/(1 + x^2) - acot(x)*sin(x)/cos(x))

Unión de expresiones racionales [src]

   acot(x)    /                      /     2\               \
cos       (x)*\-cos(x)*log(cos(x)) - \1 + x /*acot(x)*sin(x)/
-------------------------------------------------------------
                       /     2\                              
                       \1 + x /*cos(x)

cos(x)^acot(x)*(-cos(x)*log(cos(x)) - (1 + x^2)*acot(x)*sin(x))/((1 + x^2)*cos(x))

Parte trigonométrica [src]

   acot(x)    /  log(cos(x))                 \
cos       (x)*|- ----------- - acot(x)*tan(x)|
              |          2                   |
              \     1 + x                    /

$$\left(- \tan{\left(x \right)} \operatorname{acot}{\left(x \right)} - \frac{\log{\left(\cos{\left(x \right)} \right)}}{x^{2} + 1}\right) \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)}$$

                     /     /     1     \                      \
                     |  log|-----------|                      |
                     |     |   /pi    \|              /pi    \|
             acot(x) |     |csc|-- - x||   acot(x)*csc|-- - x||
/     1     \        |     \   \2     //              \2     /|
|-----------|       *|- ---------------- - -------------------|
|   /pi    \|        |            2               csc(x)      |
|csc|-- - x||        \       1 + x                            /
\   \2     //

$$\left(- \frac{\operatorname{acot}{\left(x \right)} \csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}} - \frac{\log{\left(\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}} \right)}}{x^{2} + 1}\right) \left(\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}\right)^{\operatorname{acot}{\left(x \right)}}$$

                     /     /       2/x\\                   \
                     |     |1 - tan |-||                   |
                     |     |        \2/|                   |
             acot(x) |  log|-----------|                   |
/       2/x\\        |     |       2/x\|                /x\|
|1 - tan |-||        |     |1 + tan |-||   2*acot(x)*tan|-||
|        \2/|        |     \        \2//                \2/|
|-----------|       *|- ---------------- - ----------------|
|       2/x\|        |            2                 2/x\   |
|1 + tan |-||        |       1 + x           1 - tan |-|   |
\        \2//        \                               \2/   /

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

                      /     /        2/x\\                   \
                      |     |-1 + cot |-||                   |
                      |     |         \2/|                   |
              acot(x) |  log|------------|                   |
/        2/x\\        |     |       2/x\ |                /x\|
|-1 + cot |-||        |     |1 + cot |-| |   2*acot(x)*cot|-||
|         \2/|        |     \        \2/ /                \2/|
|------------|       *|- ----------------- - ----------------|
|       2/x\ |        |             2                  2/x\  |
|1 + cot |-| |        |        1 + x           -1 + cot |-|  |
\        \2/ /        \                                 \2/  /

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

                     /     /       2/x\\                 \
                     |     |1 - tan |-||                 |
                     |     |        \2/|                 |
             acot(x) |  log|-----------|                 |
/       2/x\\        |     |       2/x\|                 |
|1 - tan |-||        |     |1 + tan |-||                 |
|        \2/|        |     \        \2//                 |
|-----------|       *|- ---------------- - acot(x)*tan(x)|
|       2/x\|        |            2                      |
|1 + tan |-||        \       1 + x                       /
\        \2//

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

                      /     /        2/x\\          \
                      |     |-1 + cot |-||          |
                      |     |         \2/|          |
              acot(x) |  log|------------|          |
/        2/x\\        |     |       2/x\ |          |
|-1 + cot |-||        |     |1 + cot |-| |          |
|         \2/|        |     \        \2/ /   acot(x)|
|------------|       *|- ----------------- - -------|
|       2/x\ |        |             2         cot(x)|
|1 + cot |-| |        \        1 + x                /
\        \2/ /

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

                   /     /   /    pi\\                 \
                   |  log|sin|x + --||                 |
   acot(x)/    pi\ |     \   \    2 //   acot(x)*sin(x)|
sin       |x + --|*|- ---------------- - --------------|
          \    2 / |            2            /    pi\  |
                   |       1 + x          sin|x + --|  |
                   \                         \    2 /  /

$$\left(- \frac{\sin{\left(x \right)} \operatorname{acot}{\left(x \right)}}{\sin{\left(x + \frac{\pi}{2} \right)}} - \frac{\log{\left(\sin{\left(x + \frac{\pi}{2} \right)} \right)}}{x^{2} + 1}\right) \sin^{\operatorname{acot}{\left(x \right)}}{\left(x + \frac{\pi}{2} \right)}$$

              /                           /    pi\\
              |                acot(x)*cos|x - --||
   acot(x)    |  log(cos(x))              \    2 /|
cos       (x)*|- ----------- - -------------------|
              |          2            cos(x)      |
              \     1 + x                         /

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

   acot(x)    /  log(cos(x))   acot(x)*sin(x)\
cos       (x)*|- ----------- - --------------|
              |          2         cos(x)    |
              \     1 + x                    /

                /     /  1   \                 \
        acot(x) |  log|------|                 |
/  1   \        |     \sec(x)/   acot(x)*sec(x)|
|------|       *|- ----------- - --------------|
\sec(x)/        |          2         /    pi\  |
                |     1 + x       sec|x - --|  |
                \                    \    2 /  /

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

                /     /  1   \                 \
        acot(x) |  log|------|                 |
/  1   \        |     \sec(x)/   acot(x)*sec(x)|
|------|       *|- ----------- - --------------|
\sec(x)/        |          2         csc(x)    |
                \     1 + x                    /

$$\left(- \frac{\operatorname{acot}{\left(x \right)} \sec{\left(x \right)}}{\csc{\left(x \right)}} - \frac{\log{\left(\frac{1}{\sec{\left(x \right)}} \right)}}{x^{2} + 1}\right) \left(\frac{1}{\sec{\left(x \right)}}\right)^{\operatorname{acot}{\left(x \right)}}$$

                   /     /   /    pi\\                    \
                   |  log|sin|x + --||        2           |
   acot(x)/    pi\ |     \   \    2 //   2*sin (x)*acot(x)|
sin       |x + --|*|- ---------------- - -----------------|
          \    2 / |            2             sin(2*x)    |
                   \       1 + x                          /

$$\left(- \frac{2 \sin^{2}{\left(x \right)} \operatorname{acot}{\left(x \right)}}{\sin{\left(2 x \right)}} - \frac{\log{\left(\sin{\left(x + \frac{\pi}{2} \right)} \right)}}{x^{2} + 1}\right) \sin^{\operatorname{acot}{\left(x \right)}}{\left(x + \frac{\pi}{2} \right)}$$

sin(x + pi/2)^acot(x)*(-log(sin(x + pi/2))/(1 + x^2) - 2*sin(x)^2*acot(x)/sin(2*x))

Combinatoria [src]

    acot(x)    /                                       2               \ 
-cos       (x)*\acot(x)*sin(x) + cos(x)*log(cos(x)) + x *acot(x)*sin(x)/ 
-------------------------------------------------------------------------
                             /     2\                                    
                             \1 + x /*cos(x)

$$- \frac{\left(x^{2} \sin{\left(x \right)} \operatorname{acot}{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)} + \sin{\left(x \right)} \operatorname{acot}{\left(x \right)}\right) \cos^{\operatorname{acot}{\left(x \right)}}{\left(x \right)}}{\left(x^{2} + 1\right) \cos{\left(x \right)}}$$

-cos(x)^acot(x)*(acot(x)*sin(x) + cos(x)*log(cos(x)) + x^2*acot(x)*sin(x))/((1 + x^2)*cos(x))

Respuesta numérica [src]

cos(x)^acot(x)*(-log(cos(x))/(1.0 + x^2) - acot(x)*sin(x)/cos(x))

cos(x)^acot(x)*(-log(cos(x))/(1.0 + x^2) - acot(x)*sin(x)/cos(x))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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