Mister Exam

Other calculators


-1/(y*log(y))

Integral of -1/(y*log(y)) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |    -1       
 |  -------- dy
 |  y*log(y)   
 |             
/              
0              
$$\int\limits_{0}^{1} \left(- \frac{1}{y \log{\left(y \right)}}\right)\, dy$$
Integral(-1/(y*log(y)), (y, 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                         
 | -------- dy = C - log(log(y))
 | y*log(y)                     
 |                              
/                               
$$\int \left(- \frac{1}{y \log{\left(y \right)}}\right)\, dy = C - \log{\left(\log{\left(y \right)} \right)}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo
Numerical answer [src]
47.8772101199067
47.8772101199067
The graph
Integral of -1/(y*log(y)) dy

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