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Resolución de integrales/ x*sqrt/ ln(x)/ (x)^2/ 1/(x*sqrt(ln(x)^2-4))

Integral de 1/(x*sqrt(ln(x)^2-4)) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |       _____________   
 |      /    2           
 |  x*\/  log (x) - 4    
 |                       
/                        
0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\log{\left(x \right)}^{2} - 4}}\, dx$$ 
Integral(1/(x*sqrt(log(x)^2 - 4)), (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                              /                                   
 |                              |                                    
 |         1                    |                1                   
 | ------------------ dx = C +  | -------------------------------- dx
 |      _____________           |     ____________________________   
 |     /    2                   | x*\/ (-2 + log(x))*(2 + log(x))    
 | x*\/  log (x) - 4            |                                    
 |                             /                                     
/
$$\int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} - 4}}\, dx = C + \int \frac{1}{x \sqrt{\left(\log{\left(x \right)} - 2\right) \left(\log{\left(x \right)} + 2\right)}}\, dx$$
Simplificar
Respuesta [src] 
  1                                    
  /                                    
 |                                     
 |                 1                   
 |  -------------------------------- dx
 |      ____________________________   
 |  x*\/ (-2 + log(x))*(2 + log(x))    
 |                                     
/                                      
0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\left(\log{\left(x \right)} - 2\right) \left(\log{\left(x \right)} + 2\right)}}\, dx$$ 
=
= 
  1                                    
  /                                    
 |                                     
 |                 1                   
 |  -------------------------------- dx
 |      ____________________________   
 |  x*\/ (-2 + log(x))*(2 + log(x))    
 |                                     
/                                      
0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{\left(\log{\left(x \right)} - 2\right) \left(\log{\left(x \right)} + 2\right)}}\, dx$$ 
Integral(1/(x*sqrt((-2 + log(x))*(2 + log(x)))), (x, 0, 1))
Respuesta numérica [src] 
(3.91777613729486 - 1.42814408105293j)
(3.91777613729486 - 1.42814408105293j)

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

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