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Solving integrals/ ln(1-x)/x

Integral of ln(1-x)/x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |  log(1 - x)   
 |  ---------- dx
 |      x        
 |               
/                
0
$$\int\limits_{0}^{1} \frac{\log{\left(1 - x \right)}}{x}\, dx$$ 
Integral(log(1 - x)/x, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                         
 |                                          
 | log(1 - x)                 /      2*pi*I\
 | ---------- dx = C - polylog\2, x*e      /
 |     x                                    
 |                                          
/
$$\int \frac{\log{\left(1 - x \right)}}{x}\, dx = C - \operatorname{Li}_{2}\left(x e^{2 i \pi}\right)$$
Simplify
The answer [src] 
   2 
-pi  
-----
  6
$$- \frac{\pi^{2}}{6}$$ 
=
= 
   2 
-pi  
-----
  6
$$- \frac{\pi^{2}}{6}$$ 
-pi^2/6
Numerical answer [src] 
-1.64493406684823
-1.64493406684823

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

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