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sqrtx/(x+1)
Solving integrals/ sqrtx/(x+1)

Integral of sqrtx/(x+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

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