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

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |       x       
 |      e        
 |  ---------- dx
 |           2   
 |  x*(x + 2)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{e^{x}}{x \left(x + 2\right)^{2}}\, dx$$
Integral(exp(x)/((x*(x + 2)^2)), (x, 0, 1))
The answer (Indefinite) [src]
  /                      /             
 |                      |              
 |      x               |      x       
 |     e                |     e        
 | ---------- dx = C +  | ---------- dx
 |          2           |          2   
 | x*(x + 2)            | x*(2 + x)    
 |                      |              
/                      /               
$$\int \frac{e^{x}}{x \left(x + 2\right)^{2}}\, dx = C + \int \frac{e^{x}}{x \left(x + 2\right)^{2}}\, dx$$
The answer [src]
  1              
  /              
 |               
 |       x       
 |      e        
 |  ---------- dx
 |           2   
 |  x*(2 + x)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{e^{x}}{x \left(x + 2\right)^{2}}\, dx$$
=
=
  1              
  /              
 |               
 |       x       
 |      e        
 |  ---------- dx
 |           2   
 |  x*(2 + x)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{e^{x}}{x \left(x + 2\right)^{2}}\, dx$$
Numerical answer [src]
11.0496975416862
11.0496975416862

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