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Solving integrals/ dx/(ln(x))^3

Integral of dx/(ln(x))^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

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