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(2x+2)/(sqrt(x^2+2x))dx

Integral of (2x+2)/(sqrt(x^2+2x))dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                             
  /                             
 |                              
 |                  1           
 |  (2*x + 2)*-------------*1 dx
 |               __________     
 |              /  2            
 |            \/  x  + 2*x      
 |                              
/                               
0                               
$$\int\limits_{0}^{1} \left(2 x + 2\right) \frac{1}{\sqrt{x^{2} + 2 x}} 1\, dx$$
Integral((2*x + 2)*1/sqrt(x^2 + 2*x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                  
 |                                         __________
 |                 1                      /  2       
 | (2*x + 2)*-------------*1 dx = C + 2*\/  x  + 2*x 
 |              __________                           
 |             /  2                                  
 |           \/  x  + 2*x                            
 |                                                   
/                                                    
$$2\,\sqrt{x^2+2\,x}$$
The graph
The answer [src]
    ___
2*\/ 3 
$$\log \left(16\,\sqrt{3}+28\right)-2\,\log \left(2\,\sqrt{3}+4 \right)+2\,\sqrt{3}$$
=
=
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2*\/ 3 
$$2 \sqrt{3}$$
Numerical answer [src]
3.4641016143874
3.4641016143874
The graph
Integral of (2x+2)/(sqrt(x^2+2x))dx dx

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