Mister Exam

Other calculators

Solving integrals/ 1/(x(ln(x)-1))

Integral of 1/(x(ln(x)-1)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

    © Mister Exam – Calculator