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Solving integrals/ 1/(x*sqrt(x-lnx^2))

Integral of 1/(x*sqrt(x-lnx^2)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |       _____________   
 |      /        2       
 |  x*\/  x - log (x)    
 |                       
/                        
0
∫011xx−log⁡(x)2 dx\int\limits_{0}^{1} \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx 
Integral(1/(x*sqrt(x - log(x)^2)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                              /                     
 |                              |                      
 |         1                    |         1            
 | ------------------ dx = C +  | ------------------ dx
 |      _____________           |      _____________   
 |     /        2               |     /        2       
 | x*\/  x - log (x)            | x*\/  x - log (x)    
 |                              |                      
/                              /
∫1xx−log⁡(x)2 dx=C+∫1xx−log⁡(x)2 dx\int \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx = C + \int \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx
Simplify
The answer [src] 
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |       _____________   
 |      /        2       
 |  x*\/  x - log (x)    
 |                       
/                        
0
∫011xx−log⁡(x)2 dx\int\limits_{0}^{1} \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx 
=
= 
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |       _____________   
 |      /        2       
 |  x*\/  x - log (x)    
 |                       
/                        
0
∫011xx−log⁡(x)2 dx\int\limits_{0}^{1} \frac{1}{x \sqrt{x - \log{\left(x \right)}^{2}}}\, dx 
Integral(1/(x*sqrt(x - log(x)^2)), (x, 0, 1))
Numerical answer [src] 
(1.23230729616776 - 4.53641495381368j)
(1.23230729616776 - 4.53641495381368j)

    Use the examples entering the upper and lower limits of integration.

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