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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
log(x^ dos + dos *x+ tres)-atan((dos *x+ dos)/ dos ^(tres / dos))/sqrt(dos)- dos /(dos +x)
logaritmo de (x al cuadrado más 2 multiplicar por x más 3) menos arco tangente de gente de ((2 multiplicar por x más 2) dividir por 2 en el grado (3 dividir por 2)) dividir por raíz cuadrada de (2) menos 2 dividir por (2 más x)
logaritmo de (x en el grado dos más dos multiplicar por x más tres) menos arco tangente de gente de ((dos multiplicar por x más dos) dividir por dos en el grado (tres dividir por dos)) dividir por raíz cuadrada de (dos) menos dos dividir por (dos más x)
log(x^2+2*x+3)-atan((2*x+2)/2^(3/2))/√(2)-2/(2+x)
log(x2+2*x+3)-atan((2*x+2)/2(3/2))/sqrt(2)-2/(2+x)
logx2+2*x+3-atan2*x+2/23/2/sqrt2-2/2+x
log(x²+2*x+3)-atan((2*x+2)/2^(3/2))/sqrt(2)-2/(2+x)
log(x en el grado 2+2*x+3)-atan((2*x+2)/2 en el grado (3/2))/sqrt(2)-2/(2+x)
log(x^2+2x+3)-atan((2x+2)/2^(3/2))/sqrt(2)-2/(2+x)
log(x2+2x+3)-atan((2x+2)/2(3/2))/sqrt(2)-2/(2+x)
logx2+2x+3-atan2x+2/23/2/sqrt2-2/2+x
logx^2+2x+3-atan2x+2/2^3/2/sqrt2-2/2+x
log(x^2+2*x+3)-atan((2*x+2) dividir por 2^(3 dividir por 2)) dividir por sqrt(2)-2 dividir por (2+x)
Expresiones semejantes
log(x^2+2*x-3)-atan((2*x+2)/2^(3/2))/sqrt(2)-2/(2+x)
log(x^2+2*x+3)-atan((2*x+2)/2^(3/2))/sqrt(2)-2/(2-x)
log(x^2+2*x+3)-atan((2*x-2)/2^(3/2))/sqrt(2)-2/(2+x)
log(x^2+2*x+3)-atan((2*x+2)/2^(3/2))/sqrt(2)+2/(2+x)
log(x^2-2*x+3)-atan((2*x+2)/2^(3/2))/sqrt(2)-2/(2+x)
log(x^2+2*x+3)+atan((2*x+2)/2^(3/2))/sqrt(2)-2/(2+x)
log(x^2+2*x+3)-arctan((2*x+2)/2^(3/2))/sqrt(2)-2/(2+x)
Expresiones con funciones
Logaritmo log
log(x+1)/4-log(x-1)/4-x/(2*x^2-2)
log(sqrt(x^8+1)/(x^4+1))/8-log(sqrt(x^8+1)/(x^4-1))/8
log(x)-1/x-1/(2*x^2)
log(x^2+1)/2+atan(x)-1/(1+x)
log(x/2)/(x*sqrt(1+log(x/2)^2))
Arcotangente arctan
atan(x/2)/16+x/(8*(4+x^2))
atan(x^(1/3))*cos(x)+sin(x)/(3*x^(2/3)*(1+x^(2/3)))
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)
Raíz cuadrada sqrt
sqrt(x*(7+x))*(7/2+x)/(x*(7+x))
sqrt((x-9)/(x+9))*(x+9)*(1/(2*(x+9))-(x-9)/(2*(x+9)^2))/(x-9)
sqrt(x^3/(x-1))*(x-1)*(-x^3/(2*(x-1)^2)+3*x^2/(2*(x-1)))/x^3
sqrt((x+2)/(x-2))+sqrt((x-2)/(x+2))/sqrt((x+2)/(x-2))-sqrt((x-2)/(x+2))
sqrt(x)*(cbrt(x)+(x/(3x^(2/3))))

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

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

Solución

Ha introducido [src]

                        /2*x + 2\        
                    atan|-------|        
                        |   3/2 |        
   / 2          \       \  2    /     2  
log\x  + 2*x + 3/ - ------------- - -----
                          ___       2 + x
                        \/ 2

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

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

Simplificación general [src]

             /                                /  ___        \\
             |     /     2      \     ___     |\/ 2 *(1 + x)||
-4 + (2 + x)*|2*log\3 + x  + 2*x/ - \/ 2 *atan|-------------||
             \                                \      2      //
--------------------------------------------------------------
                          2*(2 + x)

\frac{\left(x + 2\right) \left(2 \log{\left(x^{2} + 2 x + 3 \right)} - \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(x + 1\right)}{2} \right)}\right) - 4}{2 \left(x + 2\right)}

(-4 + (2 + x)*(2*log(3 + x^2 + 2*x) - sqrt(2)*atan(sqrt(2)*(1 + x)/2)))/(2*(2 + x))

Respuesta numérica [src]

-2.0/(2.0 + x) - 0.707106781186547*atan((2*x + 2)/2^(3/2)) + log(x^2 + 2*x + 3)

-2.0/(2.0 + x) - 0.707106781186547*atan((2*x + 2)/2^(3/2)) + log(x^2 + 2*x + 3)

Denominador racional [src]

                                       /  ___       ___\                                       /  ___       ___\
          /     2      \       ___     |\/ 2    x*\/ 2 |          /     2      \       ___     |\/ 2    x*\/ 2 |
-4 + 4*log\3 + x  + 2*x/ - 2*\/ 2 *atan|----- + -------| + 2*x*log\3 + x  + 2*x/ - x*\/ 2 *atan|----- + -------|
                                       \  2        2   /                                       \  2        2   /
----------------------------------------------------------------------------------------------------------------
                                                    4 + 2*x

\frac{2 x \log{\left(x^{2} + 2 x + 3 \right)} - \sqrt{2} x \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} + \frac{\sqrt{2}}{2} \right)} + 4 \log{\left(x^{2} + 2 x + 3 \right)} - 2 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} + \frac{\sqrt{2}}{2} \right)} - 4}{2 x + 4}

(-4 + 4*log(3 + x^2 + 2*x) - 2*sqrt(2)*atan(sqrt(2)/2 + x*sqrt(2)/2) + 2*x*log(3 + x^2 + 2*x) - x*sqrt(2)*atan(sqrt(2)/2 + x*sqrt(2)/2))/(4 + 2*x)

Denominador común [src]

                    /  ___       ___\                    
            ___     |\/ 2    x*\/ 2 |                    
          \/ 2 *atan|----- + -------|                    
    2               \  2        2   /      /     2      \
- ----- - --------------------------- + log\3 + x  + 2*x/
  2 + x                2

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

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

Potencias [src]

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

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

                    /  ___          \                    
            ___     |\/ 2 *(2 + 2*x)|                    
          \/ 2 *atan|---------------|                    
    2               \       4       /      /     2      \
- ----- - --------------------------- + log\3 + x  + 2*x/
  2 + x                2

\log{\left(x^{2} + 2 x + 3 \right)} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 x + 2\right)}{4} \right)}}{2} - \frac{2}{x + 2}

-2/(2 + x) - sqrt(2)*atan(sqrt(2)*(2 + 2*x)/4)/2 + log(3 + x^2 + 2*x)

Combinatoria [src]

 /                                                              /  ___       ___\               /  ___       ___\\ 
 |         /     2      \          /     2      \       ___     |\/ 2    x*\/ 2 |       ___     |\/ 2    x*\/ 2 || 
-|4 - 4*log\3 + x  + 2*x/ - 2*x*log\3 + x  + 2*x/ + 2*\/ 2 *atan|----- + -------| + x*\/ 2 *atan|----- + -------|| 
 \                                                              \  2        2   /               \  2        2   // 
-------------------------------------------------------------------------------------------------------------------
                                                     2*(2 + x)

- \frac{- 2 x \log{\left(x^{2} + 2 x + 3 \right)} + \sqrt{2} x \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} + \frac{\sqrt{2}}{2} \right)} - 4 \log{\left(x^{2} + 2 x + 3 \right)} + 2 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} + \frac{\sqrt{2}}{2} \right)} + 4}{2 \left(x + 2\right)}

-(4 - 4*log(3 + x^2 + 2*x) - 2*x*log(3 + x^2 + 2*x) + 2*sqrt(2)*atan(sqrt(2)/2 + x*sqrt(2)/2) + x*sqrt(2)*atan(sqrt(2)/2 + x*sqrt(2)/2))/(2*(2 + x))

Compilar la expresión [src]

            ___     /2*x + 2\                    
          \/ 2 *atan|-------|                    
                    |   3/2 |                    
    2               \  2    /      / 2          \
- ----- - ------------------- + log\x  + 2*x + 3/
  2 + x            2

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

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

Parte trigonométrica [src]

                    /  ___          \                    
            ___     |\/ 2 *(2 + 2*x)|                    
          \/ 2 *atan|---------------|                    
    2               \       4       /      /     2      \
- ----- - --------------------------- + log\3 + x  + 2*x/
  2 + x                2

\log{\left(x^{2} + 2 x + 3 \right)} - \frac{\sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(2 x + 2\right)}{4} \right)}}{2} - \frac{2}{x + 2}

-2/(2 + x) - sqrt(2)*atan(sqrt(2)*(2 + 2*x)/4)/2 + log(3 + x^2 + 2*x)

Unión de expresiones racionales [src]

             /                                 /  ___        \\
             |                         ___     |\/ 2 *(1 + x)||
-4 + (2 + x)*|2*log(3 + x*(2 + x)) - \/ 2 *atan|-------------||
             \                                 \      2      //
---------------------------------------------------------------
                           2*(2 + x)

\frac{\left(x + 2\right) \left(2 \log{\left(x \left(x + 2\right) + 3 \right)} - \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} \left(x + 1\right)}{2} \right)}\right) - 4}{2 \left(x + 2\right)}

(-4 + (2 + x)*(2*log(3 + x*(2 + x)) - sqrt(2)*atan(sqrt(2)*(1 + x)/2)))/(2*(2 + x))

Otras calculadoras

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

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

Solución

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