Descomposición de una fracción asin(x)^log(x)*(log(asin(x))/x+log(x)/(sqrt(1-x²)*asin(x))) (ar coseno de eno de (x) en el grado logaritmo de (x) multiplicar por (logaritmo de (ar coseno de eno de (x)) dividir por x más logaritmo de (x) dividir por (raíz cuadrada de (1 menos x al cuadrado) multiplicar por ar coseno de eno de (x))))

Ha introducido [src]

    log(x)    /log(asin(x))          log(x)      \
asin      (x)*|------------ + -------------------|
              |     x            ________        |
              |                 /      2         |
              \               \/  1 - x  *asin(x)/

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

asin(x)^log(x)*(log(asin(x))/x + log(x)/((sqrt(1 - x^2)*asin(x))))

Simplificación general [src]

    log(x)                       log(x)          
asin      (x)*log(asin(x))   asin      (x)*log(x)
-------------------------- + --------------------
            x                   ________         
                               /      2          
                             \/  1 - x  *asin(x)

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

asin(x)^log(x)*log(asin(x))/x + asin(x)^log(x)*log(x)/(sqrt(1 - x^2)*asin(x))

Respuesta numérica [src]

asin(x)^log(x)*(log(asin(x))/x + (1.0 - x^2)^(-0.5)*log(x)/asin(x))

asin(x)^log(x)*(log(asin(x))/x + (1.0 - x^2)^(-0.5)*log(x)/asin(x))

Unión de expresiones racionales [src]

              /              ________                     \
    log(x)    |             /      2                      |
asin      (x)*\x*log(x) + \/  1 - x  *asin(x)*log(asin(x))/
-----------------------------------------------------------
                        ________                           
                       /      2                            
                   x*\/  1 - x  *asin(x)

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

asin(x)^log(x)*(x*log(x) + sqrt(1 - x^2)*asin(x)*log(asin(x)))/(x*sqrt(1 - x^2)*asin(x))

Combinatoria [src]

              /              ________                     \
    log(x)    |             /      2                      |
asin      (x)*\x*log(x) + \/  1 - x  *asin(x)*log(asin(x))/
-----------------------------------------------------------
                  ___________________                      
              x*\/ -(1 + x)*(-1 + x) *asin(x)

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

asin(x)^log(x)*(x*log(x) + sqrt(1 - x^2)*asin(x)*log(asin(x)))/(x*sqrt(-(1 + x)*(-1 + x))*asin(x))

Denominador racional [src]

                                                                                              ________                          
      -1 + log(x)                            2     -1 + log(x)                               /      2      -1 + log(x)          
- asin           (x)*asin(x)*log(asin(x)) + x *asin           (x)*asin(x)*log(asin(x)) - x*\/  1 - x  *asin           (x)*log(x)
--------------------------------------------------------------------------------------------------------------------------------
                                                            /      2\                                                           
                                                          x*\-1 + x /

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

(-asin(x)^(-1 + log(x))*asin(x)*log(asin(x)) + x^2*asin(x)^(-1 + log(x))*asin(x)*log(asin(x)) - x*sqrt(1 - x^2)*asin(x)^(-1 + log(x))*log(x))/(x*(-1 + x^2))

Denominador común [src]

                            ________                                   
      log(x)               /      2      log(x)                        
x*asin      (x)*log(x) + \/  1 - x  *asin      (x)*asin(x)*log(asin(x))
-----------------------------------------------------------------------
                              ________                                 
                             /      2                                  
                         x*\/  1 - x  *asin(x)

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

(x*asin(x)^log(x)*log(x) + sqrt(1 - x^2)*asin(x)^log(x)*asin(x)*log(asin(x)))/(x*sqrt(1 - x^2)*asin(x))

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

Solución

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

Solución

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