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

Integral of x^2dx/(2x+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   
 |  (2*x + 1)    
 |               
/                
0
$$\int\limits_{0}^{1} \frac{x^{2}}{\left(2 x + 1\right)^{2}}\, dx$$ 
Integral(x^2/(2*x + 1)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                  
 |                                                   
 |      2                                            
 |     x               log(1 + 2*x)        1        x
 | ---------- dx = C - ------------ - ----------- + -
 |          2               4         8*(1 + 2*x)   4
 | (2*x + 1)                                         
 |                                                   
/
$$\int \frac{x^{2}}{\left(2 x + 1\right)^{2}}\, dx = C + \frac{x}{4} - \frac{\log{\left(2 x + 1 \right)}}{4} - \frac{1}{8 \left(2 x + 1\right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1   log(3)
- - ------
3     4
$$\frac{1}{3} - \frac{\log{\left(3 \right)}}{4}$$ 
=
= 
1   log(3)
- - ------
3     4
$$\frac{1}{3} - \frac{\log{\left(3 \right)}}{4}$$ 
1/3 - log(3)/4
Numerical answer [src] 
0.0586802611663059
0.0586802611663059
The graph
Integral of x^2dx/(2x+1)^2 dx

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

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