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(x^1/2)/(1+x)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1         
  /         
 |          
 |    ___   
 |  \/ x    
 |  ----- dx
 |  1 + x   
 |          
/           
0           
$$\int\limits_{0}^{1} \frac{\sqrt{x}}{x + 1}\, dx$$
Integral(sqrt(x)/(1 + x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                      
 |                                       
 |   ___                                 
 | \/ x                 /  ___\       ___
 | ----- dx = C - 2*atan\\/ x / + 2*\/ x 
 | 1 + x                                 
 |                                       
/                                        
$$2\,\sqrt{x}-2\,\arctan \sqrt{x}$$
The graph
The answer [src]
    pi
2 - --
    2 
$$- \frac{\pi}{2} + 2$$
=
=
    pi
2 - --
    2 
$$- \frac{\pi}{2} + 2$$
Numerical answer [src]
0.429203673205103
0.429203673205103
The graph
Integral of (x^1/2)/(1+x) dx

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