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Solving integrals/ exp(x)/(1+x)

Integral of exp(x)/(1+x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |     x    
 |    e     
 |  ----- dx
 |  1 + x   
 |          
/           
1/2
$$\int\limits_{\frac{1}{2}}^{1} \frac{e^{x}}{x + 1}\, dx$$ 
Integral(exp(x)/(1 + x), (x, 1/2, 1))
The answer (Indefinite) [src] 
  /                 /        
 |                 |         
 |    x            |    x    
 |   e             |   e     
 | ----- dx = C +  | ----- dx
 | 1 + x           | 1 + x   
 |                 |         
/                 /
$$\int \frac{e^{x}}{x + 1}\, dx = C + \int \frac{e^{x}}{x + 1}\, dx$$
Simplify
The answer [src] 
  1         
  /         
 |          
 |     x    
 |    e     
 |  ----- dx
 |  1 + x   
 |          
/           
1/2
$$\int\limits_{\frac{1}{2}}^{1} \frac{e^{x}}{x + 1}\, dx$$ 
=
= 
  1         
  /         
 |          
 |     x    
 |    e     
 |  ----- dx
 |  1 + x   
 |          
/           
1/2
$$\int\limits_{\frac{1}{2}}^{1} \frac{e^{x}}{x + 1}\, dx$$ 
Integral(exp(x)/(1 + x), (x, 1/2, 1))
Numerical answer [src] 
0.608085920145052
0.608085920145052

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

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