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Solving integrals/ x/(1+e^x)

Integral of x/(1+e^x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |    x      
 |  ------ dx
 |       x   
 |  1 + E    
 |           
/            
0
$$\int\limits_{0}^{1} \frac{x}{e^{x} + 1}\, dx$$ 
Integral(x/(1 + E^x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                  /         
 |                  |          
 |   x              |   x      
 | ------ dx = C +  | ------ dx
 |      x           |      x   
 | 1 + E            | 1 + e    
 |                  |          
/                  /
$$\int \frac{x}{e^{x} + 1}\, dx = C + \int \frac{x}{e^{x} + 1}\, dx$$
Simplify
The answer [src] 
  1          
  /          
 |           
 |    x      
 |  ------ dx
 |       x   
 |  1 + e    
 |           
/            
0
$$\int\limits_{0}^{1} \frac{x}{e^{x} + 1}\, dx$$ 
=
= 
  1          
  /          
 |           
 |    x      
 |  ------ dx
 |       x   
 |  1 + e    
 |           
/            
0
$$\int\limits_{0}^{1} \frac{x}{e^{x} + 1}\, dx$$ 
Integral(x/(1 + exp(x)), (x, 0, 1))
Numerical answer [src] 
0.170557349502438
0.170557349502438

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

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