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Solving integrals/ dx/(2x+1)^3

Integral of dx/(2x+1)^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3              
  /              
 |               
 |      1        
 |  ---------- dx
 |           3   
 |  (2*x + 1)    
 |               
/                
0
$$\int\limits_{0}^{3} \frac{1}{\left(2 x + 1\right)^{3}}\, dx$$ 
Integral(1/((2*x + 1)^3), (x, 0, 3))
The answer (Indefinite) [src] 
  /                                    
 |                                     
 |     1                      1        
 | ---------- dx = C - ----------------
 |          3                         2
 | (2*x + 1)           4 + 16*x + 16*x 
 |                                     
/
$$\int \frac{1}{\left(2 x + 1\right)^{3}}\, dx = C - \frac{1}{16 x^{2} + 16 x + 4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
12
--
49
$$\frac{12}{49}$$ 
=
= 
12
--
49
$$\frac{12}{49}$$ 
12/49
Numerical answer [src] 
0.244897959183673
0.244897959183673

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

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