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Solving integrals/ y/(ylny)

Integral of y/(ylny) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |     y       
 |  -------- dy
 |  y*log(y)   
 |             
/              
0
∫01yylog⁡(y) dy\int\limits_{0}^{1} \frac{y}{y \log{\left(y \right)}}\, dy 
Integral(y/((y*log(y))), (y, 0, 1))
Detail solution

    LiRule(a=1, b=0, context=y/((y*log(y))), symbol=y)

  1. Add the constant of integration:

    li⁡(y)+constant\operatorname{li}{\left(y \right)}+ \mathrm{constant}

The answer is:

li⁡(y)+constant\operatorname{li}{\left(y \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                       
 |                        
 |    y                   
 | -------- dy = C + li(y)
 | y*log(y)               
 |                        
/
∫yylog⁡(y) dy=C+li⁡(y)\int \frac{y}{y \log{\left(y \right)}}\, dy = C + \operatorname{li}{\left(y \right)}
Simplify
The answer [src] 
  1          
  /          
 |           
 |    1      
 |  ------ dy
 |  log(y)   
 |           
/            
0
∫011log⁡(y) dy\int\limits_{0}^{1} \frac{1}{\log{\left(y \right)}}\, dy 
=
= 
  1          
  /          
 |           
 |    1      
 |  ------ dy
 |  log(y)   
 |           
/            
0
∫011log⁡(y) dy\int\limits_{0}^{1} \frac{1}{\log{\left(y \right)}}\, dy
Упростить
Numerical answer [src] 
-43.5137411213179
-43.5137411213179

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

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