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

Integral of x^2/(x+1)^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 + 1)    
 |             
/              
0
∫01x2(x+1)2 dx\int\limits_{0}^{1} \frac{x^{2}}{\left(x + 1\right)^{2}}\, dx 
Integral(x^2/(x + 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                          
 |                                           
 |     2                                     
 |    x                    1                 
 | -------- dx = C + x - ----- - 2*log(1 + x)
 |        2              1 + x               
 | (x + 1)                                   
 |                                           
/
∫x2(x+1)2 dx=C+x−2log⁡(x+1)−1x+1\int \frac{x^{2}}{\left(x + 1\right)^{2}}\, dx = C + x - 2 \log{\left(x + 1 \right)} - \frac{1}{x + 1}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.901-2
Plot the graph f(x)
The answer [src] 
3/2 - 2*log(2)
32−2log⁡(2)\frac{3}{2} - 2 \log{\left(2 \right)} 
=
= 
3/2 - 2*log(2)
32−2log⁡(2)\frac{3}{2} - 2 \log{\left(2 \right)} 
3/2 - 2*log(2)
Numerical answer [src] 
0.113705638880109
0.113705638880109
The graph
Integral of x^2/(x+1)^2 dx

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

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