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

Integral of 1/ln(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |    1      
 |  ------ dx
 |  log(x)   
 |           
/            
0
∫011log⁡(x) dx\int\limits_{0}^{1} \frac{1}{\log{\left(x \right)}}\, dx 
Integral(1/log(x), (x, 0, 1))
Detail solution

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

  1. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /                     
 |                      
 |   1                  
 | ------ dx = C + li(x)
 | log(x)               
 |                      
/
∫1log⁡(x) dx=C+li⁡(x)\int \frac{1}{\log{\left(x \right)}}\, dx = C + \operatorname{li}{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1000010000
Plot the graph f(x)
The answer [src] 
-oo
−∞-\infty 
=
= 
-oo
−∞-\infty 
-oo
Numerical answer [src] 
-43.5137411213179
-43.5137411213179
The graph
Integral of 1/ln(x) dx

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

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