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Solving integrals/ dx/lnx

Integral of dx/lnx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |      1      
 |  1*------ dx
 |    log(x)   
 |             
/              
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\log{\left(x \right)}}\, dx$$ 
Integral(1/log(x), (x, 0, 1))
Detail solution

    LiRule(a=1, b=0, context=1/log(x), symbol=x)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                       
 |                        
 |     1                  
 | 1*------ dx = C + li(x)
 |   log(x)               
 |                        
/
$$\int 1 \cdot \frac{1}{\log{\left(x \right)}}\, dx = C + \operatorname{li}{\left(x \right)}$$
Simplify
The answer [src] 
  1          
  /          
 |           
 |    1      
 |  ------ dx
 |  log(x)   
 |           
/            
0
$$\int\limits_{0}^{1} \frac{1}{\log{\left(x \right)}}\, dx$$ 
=
= 
  1          
  /          
 |           
 |    1      
 |  ------ dx
 |  log(x)   
 |           
/            
0
$$\int\limits_{0}^{1} \frac{1}{\log{\left(x \right)}}\, dx$$
Упростить
Numerical answer [src] 
-43.5137411213179
-43.5137411213179

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

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