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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |      2      
 |     x       
 |  -------- dx
 |         2   
 |  (x + 2)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{x^{2}}{\left(x + 2\right)^{2}}\, dx$$ 
Integral(x^2/(x + 2)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                          
 |                                           
 |     2                                     
 |    x                    4                 
 | -------- dx = C + x - ----- - 4*log(2 + x)
 |        2              2 + x               
 | (x + 2)                                   
 |                                           
/
$$\int \frac{x^{2}}{\left(x + 2\right)^{2}}\, dx = C + x - 4 \log{\left(x + 2 \right)} - \frac{4}{x + 2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
5/3 - 4*log(3) + 4*log(2)
$$- 4 \log{\left(3 \right)} + \frac{5}{3} + 4 \log{\left(2 \right)}$$ 
=
= 
5/3 - 4*log(3) + 4*log(2)
$$- 4 \log{\left(3 \right)} + \frac{5}{3} + 4 \log{\left(2 \right)}$$ 
5/3 - 4*log(3) + 4*log(2)
Numerical answer [src] 
0.0448062342340091
0.0448062342340091

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

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