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(z-a)/(5*z-2*a)-(z-4*a)/(z)
z/(2*z-4)-(z^2+4)/(2*z^2-8)-z/(z^2+2*z)
(x*(x-6)^2)^(1/3)*((x-6)^2/3+x*(-12+2*x)/3)/(x*(x-6)^2)
(((z^2)+(6*z+4))/((z^3)+8))/(1/-1)
Factorizar el polinomio:
z^3+3*z^2
z^2-4*z+16*z^2/16
z^3+z-10
z^3+11*z^2+36*z+26
Descomponer al cuadrado:
x^2*(-2)+5*x-2
-y^4+y^2+5
y^4+y^2-8
-y^4+y^2+9
Expresiones idénticas
asin(x)^(uno /(cinco *x^ tres - cuatro))*(uno /(sqrt(uno -x^ dos)*(cinco *x^ tres - cuatro)*asin(x))- quince *x^ dos *log(asin(x))/(cinco *x^ tres - cuatro)^ dos)
ar coseno de eno de (x) en el grado (1 dividir por (5 multiplicar por x al cubo menos 4)) multiplicar por (1 dividir por ( raíz cuadrada de (1 menos x al cuadrado ) multiplicar por (5 multiplicar por x al cubo menos 4) multiplicar por ar coseno de eno de (x)) menos 15 multiplicar por x al cuadrado multiplicar por logaritmo de ( ar coseno de eno de (x)) dividir por (5 multiplicar por x al cubo menos 4) al cuadrado )
ar coseno de eno de (x) en el grado (uno dividir por (cinco multiplicar por x en el grado tres menos cuatro)) multiplicar por (uno dividir por ( raíz cuadrada de (uno menos x en el grado dos) multiplicar por (cinco multiplicar por x en el grado tres menos cuatro) multiplicar por ar coseno de eno de (x)) menos quince multiplicar por x en el grado dos multiplicar por logaritmo de ( ar coseno de eno de (x)) dividir por (cinco multiplicar por x en el grado tres menos cuatro) en el grado dos)
asin(x)^(1/(5*x^3-4))*(1/(√(1-x^2)*(5*x^3-4)*asin(x))-15*x^2*log(asin(x))/(5*x^3-4)^2)
asin(x)(1/(5*x3-4))*(1/(sqrt(1-x2)*(5*x3-4)*asin(x))-15*x2*log(asin(x))/(5*x3-4)2)
asinx1/5*x3-4*1/sqrt1-x2*5*x3-4*asinx-15*x2*logasinx/5*x3-42
asin(x)^(1/(5*x³-4))*(1/(sqrt(1-x²)*(5*x³-4)*asin(x))-15*x²*log(asin(x))/(5*x³-4)²)
asin(x) en el grado (1/(5*x en el grado 3-4))*(1/(sqrt(1-x en el grado 2)*(5*x en el grado 3-4)*asin(x))-15*x en el grado 2*log(asin(x))/(5*x en el grado 3-4) en el grado 2)
asin(x)^(1/(5x^3-4))(1/(sqrt(1-x^2)(5x^3-4)asin(x))-15x^2log(asin(x))/(5x^3-4)^2)
asin(x)(1/(5x3-4))(1/(sqrt(1-x2)(5x3-4)asin(x))-15x2log(asin(x))/(5x3-4)2)
asinx1/5x3-41/sqrt1-x25x3-4asinx-15x2logasinx/5x3-42
asinx^1/5x^3-41/sqrt1-x^25x^3-4asinx-15x^2logasinx/5x^3-4^2
asin(x)^(1 dividir por (5*x^3-4))*(1 dividir por (sqrt(1-x^2)*(5*x^3-4)*asin(x))-15*x^2*log(asin(x)) dividir por (5*x^3-4)^2)
Expresiones semejantes
asin(x)^(1/(5*x^3-4))*(1/(sqrt(1-x^2)*(5*x^3-4)*asin(x))-15*x^2*log(asin(x))/(5*x^3+4)^2)
asin(x)^(1/(5*x^3-4))*(1/(sqrt(1+x^2)*(5*x^3-4)*asin(x))-15*x^2*log(asin(x))/(5*x^3-4)^2)
asin(x)^(1/(5*x^3-4))*(1/(sqrt(1-x^2)*(5*x^3+4)*asin(x))-15*x^2*log(asin(x))/(5*x^3-4)^2)
asin(x)^(1/(5*x^3-4))*(1/(sqrt(1-x^2)*(5*x^3-4)*asin(x))+15*x^2*log(asin(x))/(5*x^3-4)^2)
asin(x)^(1/(5*x^3+4))*(1/(sqrt(1-x^2)*(5*x^3-4)*asin(x))-15*x^2*log(asin(x))/(5*x^3-4)^2)
arcsin(x)^(1/(5*x^3-4))*(1/(sqrt(1-x^2)*(5*x^3-4)*arcsin(x))-15*x^2*log(arcsin(x))/(5*x^3-4)^2)
arcsinx^(1/(5*x^3-4))*(1/(sqrt(1-x^2)*(5*x^3-4)*arcsinx)-15*x^2*log(arcsinx)/(5*x^3-4)^2)
Expresiones con funciones
Arcoseno arcsin
asin(x)^log(x)*(log(asin(x))/x+log(x)/(sqrt(1-x^2)*asin(x)))
asin(x/(sqrt(6)*(|x+2|))+7/(sqrt(6)*(|x+2|)))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)
asin(x/2)-(4-x^2)^(5/2)/(12*x^3)+(4-x^2)^(3/2)/(6*x)+(x*sqrt(4-x^2))/4
asin(x)^x*(x/(sqrt(1-x^2)*asin(x))+log(asin(x)))
asin(x/(sqrt(5)*|x-1|)-3/(sqrt(5)*|x-1|))
Raíz cuadrada sqrt
sqrt(2)/(sqrt(8)+2)-((6-sqrt(32))/sqrt((8)-3))
sqrt(x)*cos(x)+sin(x)/(2*sqrt(x))
sqrt(2)*(2+cot(x)^2+tan(x)^2)/(2*(1+(tan(x)-cot(x))^2/2))
sqrt(((a*b*c+4)/a)+4*sqrt(b*c/a))/(sqrt(a*b*c)+2)
sqrt(2)/(sqrt(8)+2)-(6-sqrt(32))/sqrt((8)-3)
Arcoseno arcsin
asin(x)^log(x)*(log(asin(x))/x+log(x)/(sqrt(1-x^2)*asin(x)))
asin(x/(sqrt(6)*(|x+2|))+7/(sqrt(6)*(|x+2|)))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)
asin(x/2)-(4-x^2)^(5/2)/(12*x^3)+(4-x^2)^(3/2)/(6*x)+(x*sqrt(4-x^2))/4
asin(x)^x*(x/(sqrt(1-x^2)*asin(x))+log(asin(x)))
asin(x/(sqrt(5)*|x-1|)-3/(sqrt(5)*|x-1|))
Logaritmo log
log(1+tan(x/2)^2)/(-1+tan(x/2)^2)-log(1+tan(x/2))/(-1+tan(x/2)^2)-log(-1+tan(x/2))/(-1+tan(x/2)^2)+tan(x/2)^2*log(1+tan(x/2))/(-1+tan(x/2)^2)+tan(x/2)^2*log(-1+tan(x/2))/(-1+tan(x/2)^2)-tan(x/2)^2*log(1+tan(x/2)^2)/(-1+tan(x/2)^2)-2*x*tan(x/2)/(-1+tan(x/2)^2)
log((9+4*sqrt(2))/(7))/(sqrt(2))
log(x)/64-1/(8*x)-log(x-8)/64
log((2*x-sqrt(141)-11)/((-11)+sqrt(141)+2*x))/sqrt(141)
log(2*x)^cos(x)*(-log(log(2*x))*sin(x)+cos(x)/(x*log(2*x)))
Arcoseno arcsin
asin(x)^log(x)*(log(asin(x))/x+log(x)/(sqrt(1-x^2)*asin(x)))
asin(x/(sqrt(6)*(|x+2|))+7/(sqrt(6)*(|x+2|)))/5^(3/2)+sqrt(x^2+2*x-5)/(10+5*x)
asin(x/2)-(4-x^2)^(5/2)/(12*x^3)+(4-x^2)^(3/2)/(6*x)+(x*sqrt(4-x^2))/4
asin(x)^x*(x/(sqrt(1-x^2)*asin(x))+log(asin(x)))
asin(x/(sqrt(5)*|x-1|)-3/(sqrt(5)*|x-1|))

Simplificación de expresiones/ Descomposición en fracciones simples/ asin(x)^(1/(5*x^3-4))*(1/(sqrt(1-x^2)*(5*x^3-4)*asin(x))-15*x^2*log(asin(x))/(5*x^3-4)^2)

¿Cómo vas a descomponer esta asin(x)^(1/(5x^3-4))(1/(sqrt(1-x^2)(5x^3-4)asin(x))-15x^2log(asin(x))/(5x^3-4)^2) expresión en fracciones?

Solución

Ha introducido [src]

            1                                                          
         --------                                                      
            3     /                                     2             \
         5*x  - 4 |              1                  15*x *log(asin(x))|
(asin(x))        *|------------------------------ - ------------------|
                  |   ________                                   2    |
                  |  /      2  /   3    \              /   3    \     |
                  \\/  1 - x  *\5*x  - 4/*asin(x)      \5*x  - 4/     /

\left(- \frac{15 x^{2} \log{\left(\operatorname{asin}{\left(x \right)} \right)}}{\left(5 x^{3} - 4\right)^{2}} + \frac{1}{\sqrt{1 - x^{2}} \left(5 x^{3} - 4\right) \operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}^{\frac{1}{5 x^{3} - 4}}{\left(x \right)}

asin(x)^(1/(5*x^3 - 4))*(1/((sqrt(1 - x^2)*(5*x^3 - 4))*asin(x)) - (15*x^2)*log(asin(x))/(5*x^3 - 4)^2)

Simplificación general [src]

           /     3\                                                     
         5*\1 - x /                                                     
         ----------                                                     
                 3  /                     ________                     \
         -4 + 5*x   |        3       2   /      2                      |
(asin(x))          *\-4 + 5*x  - 15*x *\/  1 - x  *asin(x)*log(asin(x))/
------------------------------------------------------------------------
                           ________            2                        
                          /      2  /        3\                         
                        \/  1 - x  *\-4 + 5*x /

\frac{\left(5 x^{3} - 15 x^{2} \sqrt{1 - x^{2}} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} - 4\right) \operatorname{asin}^{\frac{5 \left(1 - x^{3}\right)}{5 x^{3} - 4}}{\left(x \right)}}{\sqrt{1 - x^{2}} \left(5 x^{3} - 4\right)^{2}}

asin(x)^(5*(1 - x^3)/(-4 + 5*x^3))*(-4 + 5*x^3 - 15*x^2*sqrt(1 - x^2)*asin(x)*log(asin(x)))/(sqrt(1 - x^2)*(-4 + 5*x^3)^2)

Respuesta numérica [src]

asin(x)^(1/(-4.0 + 5.0*x^3))*((1.0 - x^2)^(-0.5)/((-4.0 + 5.0*x^3)*asin(x)) - 0.6*x^2*log(asin(x))/(-0.8 + x^3)^2)

asin(x)^(1/(-4.0 + 5.0*x^3))*((1.0 - x^2)^(-0.5)/((-4.0 + 5.0*x^3)*asin(x)) - 0.6*x^2*log(asin(x))/(-0.8 + x^3)^2)

Denominador común [src]

                 1                         1                                      1                         
             ---------                 ---------                              ---------                     
                     3                         3            ________                  3                     
             -4 + 5*x       3          -4 + 5*x        2   /      2           -4 + 5*x                      
- 4*(asin(x))          + 5*x *(asin(x))          - 15*x *\/  1 - x  *(asin(x))         *asin(x)*log(asin(x))
------------------------------------------------------------------------------------------------------------
                     ________                    ________                    ________                       
                    /      2                3   /      2                6   /      2                        
               16*\/  1 - x  *asin(x) - 40*x *\/  1 - x  *asin(x) + 25*x *\/  1 - x  *asin(x)

\frac{5 x^{3} \operatorname{asin}^{\frac{1}{5 x^{3} - 4}}{\left(x \right)} - 15 x^{2} \sqrt{1 - x^{2}} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} \operatorname{asin}^{\frac{1}{5 x^{3} - 4}}{\left(x \right)} - 4 \operatorname{asin}^{\frac{1}{5 x^{3} - 4}}{\left(x \right)}}{25 x^{6} \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)} - 40 x^{3} \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)} + 16 \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}}

(-4*asin(x)^(1/(-4 + 5*x^3)) + 5*x^3*asin(x)^(1/(-4 + 5*x^3)) - 15*x^2*sqrt(1 - x^2)*asin(x)^(1/(-4 + 5*x^3))*asin(x)*log(asin(x)))/(16*sqrt(1 - x^2)*asin(x) - 40*x^3*sqrt(1 - x^2)*asin(x) + 25*x^6*sqrt(1 - x^2)*asin(x))

Unión de expresiones racionales [src]

             1                                                         
         ---------                                                     
                 3 /                     ________                     \
         -4 + 5*x  |        3       2   /      2                      |
(asin(x))         *\-4 + 5*x  - 15*x *\/  1 - x  *asin(x)*log(asin(x))/
-----------------------------------------------------------------------
                       ________            2                           
                      /      2  /        3\                            
                    \/  1 - x  *\-4 + 5*x / *asin(x)

\frac{\left(5 x^{3} - 15 x^{2} \sqrt{1 - x^{2}} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} - 4\right) \operatorname{asin}^{\frac{1}{5 x^{3} - 4}}{\left(x \right)}}{\sqrt{1 - x^{2}} \left(5 x^{3} - 4\right)^{2} \operatorname{asin}{\left(x \right)}}

asin(x)^(1/(-4 + 5*x^3))*(-4 + 5*x^3 - 15*x^2*sqrt(1 - x^2)*asin(x)*log(asin(x)))/(sqrt(1 - x^2)*(-4 + 5*x^3)^2*asin(x))

Combinatoria [src]

             1                                                         
         ---------                                                     
                 3 /                     ________                     \
         -4 + 5*x  |        3       2   /      2                      |
(asin(x))         *\-4 + 5*x  - 15*x *\/  1 - x  *asin(x)*log(asin(x))/
-----------------------------------------------------------------------
                                                2                      
                 ___________________ /        3\                       
               \/ -(1 + x)*(-1 + x) *\-4 + 5*x / *asin(x)

\frac{\left(5 x^{3} - 15 x^{2} \sqrt{1 - x^{2}} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} - 4\right) \operatorname{asin}^{\frac{1}{5 x^{3} - 4}}{\left(x \right)}}{\sqrt{- \left(x - 1\right) \left(x + 1\right)} \left(5 x^{3} - 4\right)^{2} \operatorname{asin}{\left(x \right)}}

asin(x)^(1/(-4 + 5*x^3))*(-4 + 5*x^3 - 15*x^2*sqrt(1 - x^2)*asin(x)*log(asin(x)))/(sqrt(-(1 + x)*(-1 + x))*(-4 + 5*x^3)^2*asin(x))

Denominador racional [src]

                                            1                              1                                                   1                                                   1                                                   1                         
                                    -1 + --------                  -1 + --------                                       -1 + --------                                       -1 + --------                                       -1 + --------                     
     ________            2                  3                              3                                                   3                                                   3                                                   3                         
    /      2  /        3\                5*x  - 4       7               5*x  - 4                            2               5*x  - 4                            4               5*x  - 4                            5               5*x  - 4                     
- \/  1 - x  *\-4 + 5*x / *(asin(x))              - 75*x *(asin(x))             *asin(x)*log(asin(x)) - 60*x *(asin(x))             *asin(x)*log(asin(x)) + 60*x *(asin(x))             *asin(x)*log(asin(x)) + 75*x *(asin(x))             *asin(x)*log(asin(x))
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                           3                                                                                                                     
                                                                                                                      /      2\ /        3\                                                                                                                      
                                                                                                                      \-1 + x /*\-4 + 5*x /

\frac{- 75 x^{7} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} \operatorname{asin}^{-1 + \frac{1}{5 x^{3} - 4}}{\left(x \right)} + 75 x^{5} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} \operatorname{asin}^{-1 + \frac{1}{5 x^{3} - 4}}{\left(x \right)} + 60 x^{4} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} \operatorname{asin}^{-1 + \frac{1}{5 x^{3} - 4}}{\left(x \right)} - 60 x^{2} \log{\left(\operatorname{asin}{\left(x \right)} \right)} \operatorname{asin}{\left(x \right)} \operatorname{asin}^{-1 + \frac{1}{5 x^{3} - 4}}{\left(x \right)} - \sqrt{1 - x^{2}} \left(5 x^{3} - 4\right)^{2} \operatorname{asin}^{-1 + \frac{1}{5 x^{3} - 4}}{\left(x \right)}}{\left(x^{2} - 1\right) \left(5 x^{3} - 4\right)^{3}}

(-sqrt(1 - x^2)*(-4 + 5*x^3)^2*asin(x)^(-1 + 1/(5*x^3 - 4)) - 75*x^7*asin(x)^(-1 + 1/(5*x^3 - 4))*asin(x)*log(asin(x)) - 60*x^2*asin(x)^(-1 + 1/(5*x^3 - 4))*asin(x)*log(asin(x)) + 60*x^4*asin(x)^(-1 + 1/(5*x^3 - 4))*asin(x)*log(asin(x)) + 75*x^5*asin(x)^(-1 + 1/(5*x^3 - 4))*asin(x)*log(asin(x)))/((-1 + x^2)*(-4 + 5*x^3)^3)

Abrimos la expresión [src]

                  //          1           \                     \
            1     ||----------------------|                     |
         -------- ||   ________           |                     |
            3     ||  /      2  /   3    \|       2             |
         5*x  - 4 |\\/  1 - x  *\5*x  - 4//   15*x *log(asin(x))|
(asin(x))        *|------------------------ - ------------------|
                  |        asin(x)                         2    |
                  |                              /   3    \     |
                  \                              \5*x  - 4/     /

\left(- \frac{15 x^{2} \log{\left(\operatorname{asin}{\left(x \right)} \right)}}{\left(5 x^{3} - 4\right)^{2}} + \frac{\frac{1}{\sqrt{1 - x^{2}}} \frac{1}{5 x^{3} - 4}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}^{\frac{1}{5 x^{3} - 4}}{\left(x \right)}

asin(x)^(1/(5*x^3 - 4))*((1/(sqrt(1 - x^2)*(5*x^3 - 4)))/asin(x) - (15*x^2)*log(asin(x))/(5*x^3 - 4)^2)

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Expresiones con funciones

¿Cómo vas a descomponer esta asin(x)^(1/(5*x^3-4))*(1/(sqrt(1-x^2)*(5*x^3-4)*asin(x))-15*x^2*log(asin(x))/(5*x^3-4)^2) expresión en fracciones?

Solución

¿Cómo vas a descomponer esta asin(x)^(1/(5x^3-4))(1/(sqrt(1-x^2)(5x^3-4)asin(x))-15x^2log(asin(x))/(5x^3-4)^2) expresión en fracciones?