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Solving integrals/ 1/(x*logex)

Integral of 1/(x*logex) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2             
  /             
 |              
 |      1       
 |  --------- dx
 |       / x\   
 |  x*log\E /   
 |              
/               
1
∫121xlog⁡(ex) dx\int\limits_{1}^{2} \frac{1}{x \log{\left(e^{x} \right)}}\, dx 
Integral(1/(x*log(E^x)), (x, 1, 2))
The answer (Indefinite) [src] 
  /                    
 |                     
 |     1              1
 | --------- dx = C - -
 |      / x\          x
 | x*log\E /           
 |                     
/
∫1xlog⁡(ex) dx=C−1x\int \frac{1}{x \log{\left(e^{x} \right)}}\, dx = C - \frac{1}{x}
Simplify
The graph
1.002.001.101.201.301.401.501.601.701.801.902-2
Plot the graph f(x)
The answer [src] 
1/2
12\frac{1}{2} 
=
= 
1/2
12\frac{1}{2} 
1/2
Numerical answer [src] 
0.5
0.5

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

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