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

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

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |     x       
 |  -------- dx
 |   -x    x   
 |  e   + e    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{x}{e^{x} + e^{- x}}\, dx$$ 
Integral(x/(E^(-x) + E^x), (x, 0, 1))
The answer (Indefinite) [src] 
                       /           
  /                   |            
 |                    |      x     
 |    x               |   x*e      
 | -------- dx = C +  | -------- dx
 |  -x    x           |      2*x   
 | e   + e            | 1 + e      
 |                    |            
/                    /
$$\int {{{x}\over{e^{x}+e^ {- x }}}}{\;dx}$$
Simplify
The answer [src] 
  1            
  /            
 |             
 |       x     
 |    x*e      
 |  -------- dx
 |       2*x   
 |  1 + e      
 |             
/              
0
$$\int_{0}^{1}{{{x}\over{e^{x}+e^ {- x }}}\;dx}$$ 
=
= 
  1            
  /            
 |             
 |       x     
 |    x*e      
 |  -------- dx
 |       2*x   
 |  1 + e      
 |             
/              
0
$$\int\limits_{0}^{1} \frac{x e^{x}}{e^{2 x} + 1}\, dx$$
Упростить
Numerical answer [src] 
0.200852321977861
0.200852321977861

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

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