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4x/(x+1)^2
Solving integrals/ 4x/(x+1)^2

Integral of 4x/(x+1)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |    4*x      
 |  -------- dx
 |         2   
 |  (x + 1)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{4 x}{\left(x + 1\right)^{2}}\, dx$$ 
Integral((4*x)/(x + 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      
 |                                       
 |   4*x               4                 
 | -------- dx = C + ----- + 4*log(1 + x)
 |        2          1 + x               
 | (x + 1)                               
 |                                       
/
$$\int \frac{4 x}{\left(x + 1\right)^{2}}\, dx = C + 4 \log{\left(x + 1 \right)} + \frac{4}{x + 1}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-2 + 4*log(2)
$$-2 + 4 \log{\left(2 \right)}$$ 
=
= 
-2 + 4*log(2)
$$-2 + 4 \log{\left(2 \right)}$$ 
-2 + 4*log(2)
Numerical answer [src] 
0.772588722239781
0.772588722239781
The graph
Integral of 4x/(x+1)^2 dx

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

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