Mister Exam

Other calculators

-1/(x*log(x))
Solving integrals/ -1/(x*log(x))

Integral of -1/(x*log(x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |    -1       
 |  -------- dx
 |  x*log(x)   
 |             
/              
0
$$\int\limits_{0}^{1} \left(- \frac{1}{x \log{\left(x \right)}}\right)\, dx$$ 
Integral(-1/(x*log(x)), (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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                              
 |   -1                         
 | -------- dx = C - log(log(x))
 | x*log(x)                     
 |                              
/
$$\int \left(- \frac{1}{x \log{\left(x \right)}}\right)\, dx = C - \log{\left(\log{\left(x \right)} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
47.8772101199067
47.8772101199067
The graph
Integral of -1/(x*log(x)) dx

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

    © Mister Exam – Calculator