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4/(3x-1)^3

Integral of 4/(3x-1)^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |      4        
 |  ---------- dx
 |           3   
 |  (3*x - 1)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{4}{\left(3 x - 1\right)^{3}}\, dx$$
Integral(4/((3*x - 1*1)^3), (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                    
 |                                     
 |     4                      4        
 | ---------- dx = C - ----------------
 |          3                         2
 | (3*x - 1)           6 - 36*x + 54*x 
 |                                     
/                                      
$$-{{2}\over{3\,\left(3\,x-1\right)^2}}$$
The graph
The answer [src]
nan
$${{1}\over{2}}$$
=
=
nan
$$\text{NaN}$$
Numerical answer [src]
1898216623.51506
1898216623.51506
The graph
Integral of 4/(3x-1)^3 dx

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