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

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The solution

You have entered [src]
  4          
  /          
 |           
 |     x     
 |    e      
 |  ------ dx
 |   2       
 |  x  - 1   
 |           
/            
0            
$$\int\limits_{0}^{4} \frac{e^{x}}{x^{2} - 1}\, dx$$
Integral(exp(x)/(x^2 - 1), (x, 0, 4))
The answer (Indefinite) [src]
  /                  /                   
 |                  |                    
 |    x             |         x          
 |   e              |        e           
 | ------ dx = C +  | ---------------- dx
 |  2               | (1 + x)*(-1 + x)   
 | x  - 1           |                    
 |                 /                     
/                                        
$$\int \frac{e^{x}}{x^{2} - 1}\, dx = C + \int \frac{e^{x}}{\left(x - 1\right) \left(x + 1\right)}\, dx$$
The answer [src]
  4                    
  /                    
 |                     
 |          x          
 |         e           
 |  ---------------- dx
 |  (1 + x)*(-1 + x)   
 |                     
/                      
0                      
$$\int\limits_{0}^{4} \frac{e^{x}}{\left(x - 1\right) \left(x + 1\right)}\, dx$$
=
=
  4                    
  /                    
 |                     
 |          x          
 |         e           
 |  ---------------- dx
 |  (1 + x)*(-1 + x)   
 |                     
/                      
0                      
$$\int\limits_{0}^{4} \frac{e^{x}}{\left(x - 1\right) \left(x + 1\right)}\, dx$$
Integral(exp(x)/((1 + x)*(-1 + x)), (x, 0, 4))
Numerical answer [src]
-19.1505667620393
-19.1505667620393

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