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Solving integrals/ 1/(x(lnx-1)^3)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

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