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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |     x       
 |  -------- dx
 |         2   
 |  (x + 1)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{x}{\left(x + 1\right)^{2}}\, dx$$ 
Integral(x/(x + 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                    
 |                                     
 |    x                1               
 | -------- dx = C + ----- + log(1 + x)
 |        2          1 + x             
 | (x + 1)                             
 |                                     
/
$$\int \frac{x}{\left(x + 1\right)^{2}}\, dx = C + \log{\left(x + 1 \right)} + \frac{1}{x + 1}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-1/2 + log(2)
$$- \frac{1}{2} + \log{\left(2 \right)}$$ 
=
= 
-1/2 + log(2)
$$- \frac{1}{2} + \log{\left(2 \right)}$$ 
-1/2 + log(2)
Numerical answer [src] 
0.193147180559945
0.193147180559945
The graph
Integral of x/(x+1)^2 dx

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

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