Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
¿cómo vas a descomponer esta expresión en fracciones?:
45*x*y^2/(75*y^2)
(z^2-m^2)/(z^2*m+z*m^2)-5/z
((z-2)/(4*(z+2)^2))/(z/(2*z-4)-(z^2+4)/(2*z^2-8)-z/(z^2+2*z))
z-2/4*z^2+16*z+16/(z/2*z-4-z^2+4/2*z^2-8-2/z^2+2*z)
Factorizar el polinomio:
y^7-2*y^5
y^6+y^4-3*y^2+1
-y^6+1
y*x^2+i*y^3/3
Descomponer al cuadrado:
y^4-9*y^2+10
y^4-9*y^2-15
y^4-9*y^2+4
-y^4+9*y^2+5
Expresiones idénticas
log(x^ dos + dos)/ nueve -atan(x/sqrt(dos))/(nueve *sqrt(dos))-(dos *log(x- uno))/ nueve - uno /(tres *x- tres)
logaritmo de (x al cuadrado más 2) dividir por 9 menos arco tangente de gente de (x dividir por raíz cuadrada de (2)) dividir por (9 multiplicar por raíz cuadrada de (2)) menos (2 multiplicar por logaritmo de (x menos 1)) dividir por 9 menos 1 dividir por (3 multiplicar por x menos 3)
logaritmo de (x en el grado dos más dos) dividir por nueve menos arco tangente de gente de (x dividir por raíz cuadrada de (dos)) dividir por (nueve multiplicar por raíz cuadrada de (dos)) menos (dos multiplicar por logaritmo de (x menos uno)) dividir por nueve menos uno dividir por (tres multiplicar por x menos tres)
log(x^2+2)/9-atan(x/√(2))/(9*√(2))-(2*log(x-1))/9-1/(3*x-3)
log(x2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
logx2+2/9-atanx/sqrt2/9*sqrt2-2*logx-1/9-1/3*x-3
log(x²+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
log(x en el grado 2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
log(x^2+2)/9-atan(x/sqrt(2))/(9sqrt(2))-(2log(x-1))/9-1/(3x-3)
log(x2+2)/9-atan(x/sqrt(2))/(9sqrt(2))-(2log(x-1))/9-1/(3x-3)
logx2+2/9-atanx/sqrt2/9sqrt2-2logx-1/9-1/3x-3
logx^2+2/9-atanx/sqrt2/9sqrt2-2logx-1/9-1/3x-3
log(x^2+2) dividir por 9-atan(x dividir por sqrt(2)) dividir por (9*sqrt(2))-(2*log(x-1)) dividir por 9-1 dividir por (3*x-3)
Expresiones semejantes
log(x^2-2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x+3)
log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))+(2*log(x-1))/9-1/(3*x-3)
log(x^2+2)/9+atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9+1/(3*x-3)
log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x+1))/9-1/(3*x-3)
log(x^2+2)/9-arctan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)
Expresiones con funciones
Logaritmo log
log(z)*(-2)+2*c^i*2*z-1/(2*z^2)+cos(2*z)/((2*z^2))-sin(2*z)/z+log(z^2)
log(x+a)/(2*a)-log(x-a)/(2*a)
log(x^2+2*x+4)/2-atan((2*x+2)/(2*sqrt(3)))/sqrt(3)
log(sqrt(x))/sqrt(1-x^2)+asin(x)/(2*x)
log(y)/(2*x)
Arcotangente arctan
atan(3*pi/2)/(9*pi^2)
atan(x)^(1/x)*(-log(atan(x))/x^2+1/(x*(1+x^2)*atan(x)))
atan(sin(2*x)/(sqrt(5)*(1+cos(2*x))))/sqrt(5)
atan(5*x)/(x^3)-5/(2*x^2*(25*x^2+1))-125/(2+50*x^2)
atan(x)/2+x/(2+2*x^2)
Raíz cuadrada sqrt
sqrt((5-2*x)*(6-x))*(-17/2+2*x)/((5-2*x)*(6-x))
Sqrt(2b+2*sqrt(b^2-4))/(sqrt(b^2-4)+(b+2))
sqrt(16*x^2*(1-5/(16*x)))
sqrt(x)*exp(x/2)/2+exp(x/2)/(2*sqrt(x))
sqrt((x+6)^2/(x^2-4))*(x^2-4)*((12+2*x)/(2*(x^2-4))-x*(x+6)^2/(x^2-4)^2)/(x+6)^2
Raíz cuadrada sqrt
sqrt((5-2*x)*(6-x))*(-17/2+2*x)/((5-2*x)*(6-x))
Sqrt(2b+2*sqrt(b^2-4))/(sqrt(b^2-4)+(b+2))
sqrt(16*x^2*(1-5/(16*x)))
sqrt(x)*exp(x/2)/2+exp(x/2)/(2*sqrt(x))
sqrt((x+6)^2/(x^2-4))*(x^2-4)*((12+2*x)/(2*(x^2-4))-x*(x+6)^2/(x^2-4)^2)/(x+6)^2
Logaritmo log
log(z)*(-2)+2*c^i*2*z-1/(2*z^2)+cos(2*z)/((2*z^2))-sin(2*z)/z+log(z^2)
log(x+a)/(2*a)-log(x-a)/(2*a)
log(x^2+2*x+4)/2-atan((2*x+2)/(2*sqrt(3)))/sqrt(3)
log(sqrt(x))/sqrt(1-x^2)+asin(x)/(2*x)
log(y)/(2*x)

Simplificación de expresiones/ Descomposición en fracciones simples/ log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3)

¿Cómo vas a descomponer esta log(x^2+2)/9-atan(x/sqrt(2))/(9sqrt(2))-(2log(x-1))/9-1/(3*x-3) expresión en fracciones?

Solución

Ha introducido [src]

                  /  x  \                         
              atan|-----|                         
   / 2    \       |  ___|                         
log\x  + 2/       \\/ 2 /   2*log(x - 1)      1   
----------- - ----------- - ------------ - -------
     9              ___          9         3*x - 3
                9*\/ 2

$$\left(\left(\frac{\log{\left(x^{2} + 2 \right)}}{9} - \frac{\operatorname{atan}{\left(\frac{x}{\sqrt{2}} \right)}}{9 \sqrt{2}}\right) - \frac{2 \log{\left(x - 1 \right)}}{9}\right) - \frac{1}{3 x - 3}$$

log(x^2 + 2)/9 - atan(x/sqrt(2))/(9*sqrt(2)) - 2*log(x - 1)/9 - 1/(3*x - 3)

Simplificación general [src]

              /                                           /    ___\\
              |                      /     2\     ___     |x*\/ 2 ||
-6 + (-1 + x)*|-4*log(-1 + x) + 2*log\2 + x / - \/ 2 *atan|-------||
              \                                           \   2   //
--------------------------------------------------------------------
                            18*(-1 + x)

$$\frac{\left(x - 1\right) \left(- 4 \log{\left(x - 1 \right)} + 2 \log{\left(x^{2} + 2 \right)} - \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}\right) - 6}{18 \left(x - 1\right)}$$

(-6 + (-1 + x)*(-4*log(-1 + x) + 2*log(2 + x^2) - sqrt(2)*atan(x*sqrt(2)/2)))/(18*(-1 + x))

Respuesta numérica [src]

-1/(-3.0 + 3.0*x) + 0.111111111111111*log(x^2 + 2) - 0.222222222222222*log(x - 1) - 0.0785674201318386*atan(x/sqrt(2))

-1/(-3.0 + 3.0*x) + 0.111111111111111*log(x^2 + 2) - 0.222222222222222*log(x - 1) - 0.0785674201318386*atan(x/sqrt(2))

Combinatoria [src]

 /                                              /    ___\                                                   /    ___\\ 
 |                         /     2\     ___     |x*\/ 2 |          /     2\                         ___     |x*\/ 2 || 
-|6 - 4*log(-1 + x) + 2*log\2 + x / - \/ 2 *atan|-------| - 2*x*log\2 + x / + 4*x*log(-1 + x) + x*\/ 2 *atan|-------|| 
 \                                              \   2   /                                                   \   2   // 
-----------------------------------------------------------------------------------------------------------------------
                                                      18*(-1 + x)

$$- \frac{4 x \log{\left(x - 1 \right)} - 2 x \log{\left(x^{2} + 2 \right)} + \sqrt{2} x \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)} - 4 \log{\left(x - 1 \right)} + 2 \log{\left(x^{2} + 2 \right)} - \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)} + 6}{18 \left(x - 1\right)}$$

-(6 - 4*log(-1 + x) + 2*log(2 + x^2) - sqrt(2)*atan(x*sqrt(2)/2) - 2*x*log(2 + x^2) + 4*x*log(-1 + x) + x*sqrt(2)*atan(x*sqrt(2)/2))/(18*(-1 + x))

Unión de expresiones racionales [src]

              /                                           /    ___\\
              |                      /     2\     ___     |x*\/ 2 ||
-6 + (-1 + x)*|-4*log(-1 + x) + 2*log\2 + x / - \/ 2 *atan|-------||
              \                                           \   2   //
--------------------------------------------------------------------
                            18*(-1 + x)

(-6 + (-1 + x)*(-4*log(-1 + x) + 2*log(2 + x^2) - sqrt(2)*atan(x*sqrt(2)/2)))/(18*(-1 + x))

Parte trigonométrica [src]

                                                     /    ___\
                                             ___     |x*\/ 2 |
                                /     2\   \/ 2 *atan|-------|
     1       2*log(-1 + x)   log\2 + x /             \   2   /
- -------- - ------------- + ----------- - -------------------
  -3 + 3*x         9              9                 18

$$- \frac{2 \log{\left(x - 1 \right)}}{9} + \frac{\log{\left(x^{2} + 2 \right)}}{9} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{18} - \frac{1}{3 x - 3}$$

-1/(-3 + 3*x) - 2*log(-1 + x)/9 + log(2 + x^2)/9 - sqrt(2)*atan(x*sqrt(2)/2)/18

Denominador común [src]

                                                     /    ___\
                                             ___     |x*\/ 2 |
                                /     2\   \/ 2 *atan|-------|
     1       2*log(-1 + x)   log\2 + x /             \   2   /
- -------- - ------------- + ----------- - -------------------
  -3 + 3*x         9              9                 18

$$- \frac{2 \log{\left(x - 1 \right)}}{9} + \frac{\log{\left(x^{2} + 2 \right)}}{9} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{18} - \frac{1}{3 x - 3}$$

-1/(-3 + 3*x) - 2*log(-1 + x)/9 + log(2 + x^2)/9 - sqrt(2)*atan(x*sqrt(2)/2)/18

Potencias [src]

                                                     /    ___\
                                             ___     |x*\/ 2 |
                                /     2\   \/ 2 *atan|-------|
     1       2*log(-1 + x)   log\2 + x /             \   2   /
- -------- - ------------- + ----------- - -------------------
  -3 + 3*x         9              9                 18

$$- \frac{2 \log{\left(x - 1 \right)}}{9} + \frac{\log{\left(x^{2} + 2 \right)}}{9} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}}{18} - \frac{1}{3 x - 3}$$

-1/(-3 + 3*x) - 2*log(-1 + x)/9 + log(2 + x^2)/9 - sqrt(2)*atan(x*sqrt(2)/2)/18

Denominador racional [src]

                                               /    ___\                                                   /    ___\
          /     2\                     ___     |x*\/ 2 |                            /     2\       ___     |x*\/ 2 |
-6 - 2*log\2 + x / + 4*log(-1 + x) + \/ 2 *atan|-------| - 4*x*log(-1 + x) + 2*x*log\2 + x / - x*\/ 2 *atan|-------|
                                               \   2   /                                                   \   2   /
--------------------------------------------------------------------------------------------------------------------
                                                     -18 + 18*x

$$\frac{- 4 x \log{\left(x - 1 \right)} + 2 x \log{\left(x^{2} + 2 \right)} - \sqrt{2} x \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)} + 4 \log{\left(x - 1 \right)} - 2 \log{\left(x^{2} + 2 \right)} + \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)} - 6}{18 x - 18}$$

(-6 - 2*log(2 + x^2) + 4*log(-1 + x) + sqrt(2)*atan(x*sqrt(2)/2) - 4*x*log(-1 + x) + 2*x*log(2 + x^2) - x*sqrt(2)*atan(x*sqrt(2)/2))/(-18 + 18*x)

Abrimos la expresión [src]

                                           ___     /  x  \
                                         \/ 2 *atan|-----|
               / 2    \                            |  ___|
     1      log\x  + 2/   2*log(x - 1)             \\/ 2 /
- ------- + ----------- - ------------ - -----------------
  3*x - 3        9             9                 18

$$- \frac{2 \log{\left(x - 1 \right)}}{9} + \frac{\log{\left(x^{2} + 2 \right)}}{9} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{x}{\sqrt{2}} \right)}}{18} - \frac{1}{3 x - 3}$$

-1/(3*x - 3) + log(x^2 + 2)/9 - 2*log(x - 1)/9 - sqrt(2)*atan(x/sqrt(2))/18

Compilar la expresión [src]

                                            ___     /  x  \
                                          \/ 2 *atan|-----|
                               / 2    \             |  ___|
     1       2*log(x - 1)   log\x  + 2/             \\/ 2 /
- -------- - ------------ + ----------- - -----------------
  -3 + 3*x        9              9                18

$$- \frac{2 \log{\left(x - 1 \right)}}{9} + \frac{\log{\left(x^{2} + 2 \right)}}{9} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{x}{\sqrt{2}} \right)}}{18} - \frac{1}{3 x - 3}$$

-1/(-3 + 3*x) - 2*log(x - 1)/9 + log(x^2 + 2)/9 - sqrt(2)*atan(x/sqrt(2))/18

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta log(x^2+2)/9-atan(x/sqrt(2))/(9*sqrt(2))-(2*log(x-1))/9-1/(3*x-3) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta log(x^2+2)/9-atan(x/sqrt(2))/(9sqrt(2))-(2log(x-1))/9-1/(3*x-3) expresión en fracciones?