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You entered:

e^x*dx/(e^2*x+2*e^x)

What you mean?

Integral of e^x*dx/(e^2*x+2*e^x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                    
  /                    
 |                     
 |   x        1        
 |  e *1*----------- dx
 |        2        x   
 |       e *x + 2*e    
 |                     
/                      
0                      
$$\int\limits_{0}^{1} e^{x} 1 \cdot \frac{1}{x e^{2} + 2 e^{x}}\, dx$$
Integral(E^x*1/(E^2*x + 2*E^x), (x, 0, 1))
The answer (Indefinite) [src]
                               /              
  /                           |               
 |                            |       x       
 |  x        1                |      e        
 | e *1*----------- dx = C +  | ----------- dx
 |       2        x           |    x      2   
 |      e *x + 2*e            | 2*e  + x*e    
 |                            |               
/                            /                
$${{x}\over{2}}-e^2\,\int {{{x}\over{4\,e^{x}+2\,e^2\,x}}}{\;dx}$$
The answer [src]
  1               
  /               
 |                
 |        x       
 |       e        
 |  ----------- dx
 |     x      2   
 |  2*e  + x*e    
 |                
/                 
0                 
$$\int_{0}^{1}{{{e^{x}}\over{2\,e^{x}+e^2\,x}}\;dx}$$
=
=
  1               
  /               
 |                
 |        x       
 |       e        
 |  ----------- dx
 |     x      2   
 |  2*e  + x*e    
 |                
/                 
0                 
$$\int\limits_{0}^{1} \frac{e^{x}}{x e^{2} + 2 e^{x}}\, dx$$
Numerical answer [src]
0.266051910538678
0.266051910538678

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