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Integral of dx/(x√1-log^2x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1/2                    
 e                       
   /                     
  |                      
  |          1           
  |  ----------------- dx
  |      ___      2      
  |  x*\/ 1  - log (x)   
  |                      
 /                       
 1                       
$$\int\limits_{1}^{e^{\frac{1}{2}}} \frac{1}{\sqrt{1} x - \log{\left(x \right)}^{2}}\, dx$$
Integral(1/(x*sqrt(1) - log(x)^2), (x, 1, exp(1/2)))
The answer (Indefinite) [src]
  /                             /              
 |                             |               
 |         1                   |      1        
 | ----------------- dx = C +  | ----------- dx
 |     ___      2              |        2      
 | x*\/ 1  - log (x)           | x - log (x)   
 |                             |               
/                             /                
$$\int \frac{1}{\sqrt{1} x - \log{\left(x \right)}^{2}}\, dx = C + \int \frac{1}{x - \log{\left(x \right)}^{2}}\, dx$$
The answer [src]
  1/2              
 e                 
   /               
  |                
  |       1        
  |  ----------- dx
  |         2      
  |  x - log (x)   
  |                
 /                 
 1                 
$$\int\limits_{1}^{e^{\frac{1}{2}}} \frac{1}{x - \log{\left(x \right)}^{2}}\, dx$$
=
=
  1/2              
 e                 
   /               
  |                
  |       1        
  |  ----------- dx
  |         2      
  |  x - log (x)   
  |                
 /                 
 1                 
$$\int\limits_{1}^{e^{\frac{1}{2}}} \frac{1}{x - \log{\left(x \right)}^{2}}\, dx$$
Integral(1/(x - log(x)^2), (x, 1, exp(1/2)))
Numerical answer [src]
0.531866878533263
0.531866878533263

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