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Integral of x\√(x^2+4x+5) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1                     
  /                     
 |                      
 |          x           
 |  ----------------- dx
 |     ______________   
 |    /  2              
 |  \/  x  + 4*x + 5    
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{x}{\sqrt{\left(x^{2} + 4 x\right) + 5}}\, dx$$
Integral(x/sqrt(x^2 + 4*x + 5), (x, 0, 1))
The answer (Indefinite) [src]
  /                             /                    
 |                             |                     
 |         x                   |         x           
 | ----------------- dx = C +  | ----------------- dx
 |    ______________           |    ______________   
 |   /  2                      |   /      2          
 | \/  x  + 4*x + 5            | \/  5 + x  + 4*x    
 |                             |                     
/                             /                      
$$\int \frac{x}{\sqrt{\left(x^{2} + 4 x\right) + 5}}\, dx = C + \int \frac{x}{\sqrt{x^{2} + 4 x + 5}}\, dx$$
The answer [src]
  1                     
  /                     
 |                      
 |          x           
 |  ----------------- dx
 |     ______________   
 |    /      2          
 |  \/  5 + x  + 4*x    
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{x}{\sqrt{x^{2} + 4 x + 5}}\, dx$$
=
=
  1                     
  /                     
 |                      
 |          x           
 |  ----------------- dx
 |     ______________   
 |    /      2          
 |  \/  5 + x  + 4*x    
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{x}{\sqrt{x^{2} + 4 x + 5}}\, dx$$
Integral(x/sqrt(5 + x^2 + 4*x), (x, 0, 1))
Numerical answer [src]
0.176587714562077
0.176587714562077

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