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Solving integrals/ dx/(x*ln^2x)

Integral of dx/(x*ln^2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  -x            
 e              
  /             
 |              
 |      1       
 |  --------- dx
 |       2      
 |  x*log (x)   
 |              
/               
0
$$\int\limits_{0}^{e^{- x}} \frac{1}{x \log{\left(x \right)}^{2}}\, dx$$ 
Integral(1/(x*log(x)^2), (x, 0, exp(-x)))
The answer (Indefinite) [src] 
  /                         
 |                          
 |     1                1   
 | --------- dx = C - ------
 |      2             log(x)
 | x*log (x)                
 |                          
/
$$\int \frac{1}{x \log{\left(x \right)}^{2}}\, dx = C - \frac{1}{\log{\left(x \right)}}$$
Simplify
The answer [src] 
  -1    
--------
   / -x\
log\e  /
$$- \frac{1}{\log{\left(e^{- x} \right)}}$$ 
=
= 
  -1    
--------
   / -x\
log\e  /
$$- \frac{1}{\log{\left(e^{- x} \right)}}$$ 
-1/log(exp(-x))

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

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