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Integral of exp(x)/(1+x^2) dx

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The solution

You have entered [src]
 5/2         
  /          
 |           
 |     x     
 |    e      
 |  ------ dx
 |       2   
 |  1 + x    
 |           
/            
1            
$$\int\limits_{1}^{\frac{5}{2}} \frac{e^{x}}{x^{2} + 1}\, dx$$
Integral(exp(x)/(1 + x^2), (x, 1, 5/2))
The answer (Indefinite) [src]
  /                  /         
 |                  |          
 |    x             |    x     
 |   e              |   e      
 | ------ dx = C +  | ------ dx
 |      2           |      2   
 | 1 + x            | 1 + x    
 |                  |          
/                  /           
$$\int \frac{e^{x}}{x^{2} + 1}\, dx = C + \int \frac{e^{x}}{x^{2} + 1}\, dx$$
The answer [src]
 5/2         
  /          
 |           
 |     x     
 |    e      
 |  ------ dx
 |       2   
 |  1 + x    
 |           
/            
1            
$$\int\limits_{1}^{\frac{5}{2}} \frac{e^{x}}{x^{2} + 1}\, dx$$
=
=
 5/2         
  /          
 |           
 |     x     
 |    e      
 |  ------ dx
 |       2   
 |  1 + x    
 |           
/            
1            
$$\int\limits_{1}^{\frac{5}{2}} \frac{e^{x}}{x^{2} + 1}\, dx$$
Integral(exp(x)/(1 + x^2), (x, 1, 5/2))
Numerical answer [src]
2.17730904069289
2.17730904069289

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