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-2*sqrt(3)/(3*sqrt(1-(2*x-1)^2/3))
(x^2-5*x+6)/(x-3)
a^5*b^4/(a*b^3)^2
(2x+3)/(x^2-9)
Factorizar el polinomio:
z^2-36
z^3-2*z^2+z-2
z^2-20*z+104
z^3/4-2*z^3/9+7*z^3/12
Descomponer al cuadrado:
-y^4+y^2+15
-y^4+y^2+11
y^4-9*y^2+7
y^4+9*y^2+8
Expresiones idénticas
acot(cinco *x)^ dos /(x+ treinta y uno / diez)- diez *acot(cinco *x)*log(x+ treinta y uno / diez)/(uno + veinticinco *x^ dos)
arcoco tangente de gente de (5 multiplicar por x) al cuadrado dividir por (x más 31 dividir por 10) menos 10 multiplicar por arcoco tangente de gente de (5 multiplicar por x) multiplicar por logaritmo de (x más 31 dividir por 10) dividir por (1 más 25 multiplicar por x al cuadrado )
arcoco tangente de gente de (cinco multiplicar por x) en el grado dos dividir por (x más treinta y uno dividir por diez) menos diez multiplicar por arcoco tangente de gente de (cinco multiplicar por x) multiplicar por logaritmo de (x más treinta y uno dividir por diez) dividir por (uno más veinticinco multiplicar por x en el grado dos)
acot(5*x)2/(x+31/10)-10*acot(5*x)*log(x+31/10)/(1+25*x2)
acot5*x2/x+31/10-10*acot5*x*logx+31/10/1+25*x2
acot(5*x)²/(x+31/10)-10*acot(5*x)*log(x+31/10)/(1+25*x²)
acot(5*x) en el grado 2/(x+31/10)-10*acot(5*x)*log(x+31/10)/(1+25*x en el grado 2)
acot(5x)^2/(x+31/10)-10acot(5x)log(x+31/10)/(1+25x^2)
acot(5x)2/(x+31/10)-10acot(5x)log(x+31/10)/(1+25x2)
acot5x2/x+31/10-10acot5xlogx+31/10/1+25x2
acot5x^2/x+31/10-10acot5xlogx+31/10/1+25x^2
acot(5*x)^2 dividir por (x+31 dividir por 10)-10*acot(5*x)*log(x+31 dividir por 10) dividir por (1+25*x^2)
Expresiones semejantes
acot(5*x)^2/(x+31/10)-10*acot(5*x)*log(x+31/10)/(1-25*x^2)
acot(5*x)^2/(x+31/10)+10*acot(5*x)*log(x+31/10)/(1+25*x^2)
acot(5*x)^2/(x-31/10)-10*acot(5*x)*log(x+31/10)/(1+25*x^2)
acot(5*x)^2/(x+31/10)-10*acot(5*x)*log(x-31/10)/(1+25*x^2)
arccot(5*x)^2/(x+31/10)-10*arccot(5*x)*log(x+31/10)/(1+25*x^2)
Expresiones con funciones
Arcocotangente arccot
acot(x)/x-log(2*x)/(1+x^2)
acot(2)^5*(-3+2*x/(-4+x))/(-4+x)^2
acot(x)/2-x/(2*(1+x^2))
acot(x)/x-log(x)/(1+x^2)
acot(3*x)^4/(x-4)-12*acot(3*x)^3*log(x-4)/(1+9*x^2)
Arcocotangente arccot
acot(x)/x-log(2*x)/(1+x^2)
acot(2)^5*(-3+2*x/(-4+x))/(-4+x)^2
acot(x)/2-x/(2*(1+x^2))
acot(x)/x-log(x)/(1+x^2)
acot(3*x)^4/(x-4)-12*acot(3*x)^3*log(x-4)/(1+9*x^2)
Logaritmo log
log((4-sqrt(2))/(4+sqrt(2)))/(4*sqrt(2))
log(x)^4/(2*sqrt(x)*sqrt(1-x))+4*log(x)^3*asin(sqrt(x))/x
log(x/(v-x))-v*g*t-log(a/(v-a))
log(x)+(4*x^3)/3-(5*x^2)/2+x-1/(2*x^2)
log(x^2+4*x+7)/2-(2*atan((2*x+4)/(2*sqrt(3))))/sqrt(3)

Simplificación de expresiones/ Descomposición en fracciones simples/ acot(5*x)^2/(x+31/10)-10*acot(5*x)*log(x+31/10)/(1+25*x^2)

¿Cómo vas a descomponer esta acot(5x)^2/(x+31/10)-10acot(5x)log(x+31/10)/(1+25*x^2) expresión en fracciones?

Solución

Ha introducido [src]

                             /    31\
    2        10*acot(5*x)*log|x + --|
acot (5*x)                   \    10/
---------- - ------------------------
      31                    2        
  x + --            1 + 25*x         
      10

- \frac{\log{\left(x + \frac{31}{10} \right)} 10 \operatorname{acot}{\left(5 x \right)}}{25 x^{2} + 1} + \frac{\operatorname{acot}^{2}{\left(5 x \right)}}{x + \frac{31}{10}}

acot(5*x)^2/(x + 31/10) - (10*acot(5*x))*log(x + 31/10)/(1 + 25*x^2)

Simplificación general [src]

   //        2\                            /31    \\          
10*|\1 + 25*x /*acot(5*x) - (31 + 10*x)*log|-- + x||*acot(5*x)
   \                                       \10    //          
--------------------------------------------------------------
                   /        2\                                
                   \1 + 25*x /*(31 + 10*x)

\frac{10 \left(- \left(10 x + 31\right) \log{\left(x + \frac{31}{10} \right)} + \left(25 x^{2} + 1\right) \operatorname{acot}{\left(5 x \right)}\right) \operatorname{acot}{\left(5 x \right)}}{\left(10 x + 31\right) \left(25 x^{2} + 1\right)}

10*((1 + 25*x^2)*acot(5*x) - (31 + 10*x)*log(31/10 + x))*acot(5*x)/((1 + 25*x^2)*(31 + 10*x))

Denominador común [src]

       2                         /31    \        2     2                           /31    \
10*acot (5*x) - 310*acot(5*x)*log|-- + x| + 250*x *acot (5*x) - 100*x*acot(5*x)*log|-- + x|
                                 \10    /                                          \10    /
-------------------------------------------------------------------------------------------
                                                 3        2                                
                                31 + 10*x + 250*x  + 775*x

\frac{250 x^{2} \operatorname{acot}^{2}{\left(5 x \right)} - 100 x \log{\left(x + \frac{31}{10} \right)} \operatorname{acot}{\left(5 x \right)} - 310 \log{\left(x + \frac{31}{10} \right)} \operatorname{acot}{\left(5 x \right)} + 10 \operatorname{acot}^{2}{\left(5 x \right)}}{250 x^{3} + 775 x^{2} + 10 x + 31}

(10*acot(5*x)^2 - 310*acot(5*x)*log(31/10 + x) + 250*x^2*acot(5*x)^2 - 100*x*acot(5*x)*log(31/10 + x))/(31 + 10*x + 250*x^3 + 775*x^2)

Denominador racional [src]

       2                         /31    \        2     2                           /31    \
10*acot (5*x) - 310*acot(5*x)*log|-- + x| + 250*x *acot (5*x) - 100*x*acot(5*x)*log|-- + x|
                                 \10    /                                          \10    /
-------------------------------------------------------------------------------------------
                                  /        2\                                              
                                  \1 + 25*x /*(31 + 10*x)

\frac{250 x^{2} \operatorname{acot}^{2}{\left(5 x \right)} - 100 x \log{\left(x + \frac{31}{10} \right)} \operatorname{acot}{\left(5 x \right)} - 310 \log{\left(x + \frac{31}{10} \right)} \operatorname{acot}{\left(5 x \right)} + 10 \operatorname{acot}^{2}{\left(5 x \right)}}{\left(10 x + 31\right) \left(25 x^{2} + 1\right)}

(10*acot(5*x)^2 - 310*acot(5*x)*log(31/10 + x) + 250*x^2*acot(5*x)^2 - 100*x*acot(5*x)*log(31/10 + x))/((1 + 25*x^2)*(31 + 10*x))

Parte trigonométrica [src]

                             /31    \
    2        10*acot(5*x)*log|-- + x|
acot (5*x)                   \10    /
---------- - ------------------------
  31                        2        
  -- + x            1 + 25*x         
  10

- \frac{10 \log{\left(x + \frac{31}{10} \right)} \operatorname{acot}{\left(5 x \right)}}{25 x^{2} + 1} + \frac{\operatorname{acot}^{2}{\left(5 x \right)}}{x + \frac{31}{10}}

acot(5*x)^2/(31/10 + x) - 10*acot(5*x)*log(31/10 + x)/(1 + 25*x^2)

Potencias [src]

                             /31    \
    2        10*acot(5*x)*log|-- + x|
acot (5*x)                   \10    /
---------- - ------------------------
  31                        2        
  -- + x            1 + 25*x         
  10

- \frac{10 \log{\left(x + \frac{31}{10} \right)} \operatorname{acot}{\left(5 x \right)}}{25 x^{2} + 1} + \frac{\operatorname{acot}^{2}{\left(5 x \right)}}{x + \frac{31}{10}}

acot(5*x)^2/(31/10 + x) - 10*acot(5*x)*log(31/10 + x)/(1 + 25*x^2)

Unión de expresiones racionales [src]

   //        2\                            /31 + 10*x\\          
10*|\1 + 25*x /*acot(5*x) - (31 + 10*x)*log|---------||*acot(5*x)
   \                                       \    10   //          
-----------------------------------------------------------------
                     /        2\                                 
                     \1 + 25*x /*(31 + 10*x)

\frac{10 \left(- \left(10 x + 31\right) \log{\left(\frac{10 x + 31}{10} \right)} + \left(25 x^{2} + 1\right) \operatorname{acot}{\left(5 x \right)}\right) \operatorname{acot}{\left(5 x \right)}}{\left(10 x + 31\right) \left(25 x^{2} + 1\right)}

10*((1 + 25*x^2)*acot(5*x) - (31 + 10*x)*log((31 + 10*x)/10))*acot(5*x)/((1 + 25*x^2)*(31 + 10*x))

Combinatoria [src]

   /        /31    \           /31    \       2                      \          
10*|- 31*log|-- + x| - 10*x*log|-- + x| + 25*x *acot(5*x) + acot(5*x)|*acot(5*x)
   \        \10    /           \10    /                              /          
--------------------------------------------------------------------------------
                            /        2\                                         
                            \1 + 25*x /*(31 + 10*x)

\frac{10 \left(25 x^{2} \operatorname{acot}{\left(5 x \right)} - 10 x \log{\left(x + \frac{31}{10} \right)} - 31 \log{\left(x + \frac{31}{10} \right)} + \operatorname{acot}{\left(5 x \right)}\right) \operatorname{acot}{\left(5 x \right)}}{\left(10 x + 31\right) \left(25 x^{2} + 1\right)}

10*(-31*log(31/10 + x) - 10*x*log(31/10 + x) + 25*x^2*acot(5*x) + acot(5*x))*acot(5*x)/((1 + 25*x^2)*(31 + 10*x))

Compilar la expresión [src]

                             /    31\
    2        10*acot(5*x)*log|x + --|
acot (5*x)                   \    10/
---------- - ------------------------
  31                        2        
  -- + x            1 + 25*x         
  10

- \frac{10 \log{\left(x + \frac{31}{10} \right)} \operatorname{acot}{\left(5 x \right)}}{25 x^{2} + 1} + \frac{\operatorname{acot}^{2}{\left(5 x \right)}}{x + \frac{31}{10}}

acot(5*x)^2/(31/10 + x) - 10*acot(5*x)*log(x + 31/10)/(1 + 25*x^2)

Respuesta numérica [src]

acot(5*x)^2/(3.1 + x) - 10.0*acot(5*x)*log(x + 31/10)/(1.0 + 25.0*x^2)

acot(5*x)^2/(3.1 + x) - 10.0*acot(5*x)*log(x + 31/10)/(1.0 + 25.0*x^2)

Otras calculadoras

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Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta acot(5*x)^2/(x+31/10)-10*acot(5*x)*log(x+31/10)/(1+25*x^2) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta acot(5x)^2/(x+31/10)-10acot(5x)log(x+31/10)/(1+25*x^2) expresión en fracciones?