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Solving integrals/ x^ln(x)

Integral of x^ln(x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |   log(x)   
 |  x       dx
 |            
/             
0
∫01xlog⁡(x) dx\int\limits_{0}^{1} x^{\log{\left(x \right)}}\, dx 
Integral(x^log(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                   /          
 |                   |           
 |  log(x)           |  log(x)   
 | x       dx = C +  | x       dx
 |                   |           
/                   /
∫xlog⁡(x) dx=C+∫xlog⁡(x) dx\int x^{\log{\left(x \right)}}\, dx = C + \int x^{\log{\left(x \right)}}\, dx
Simplify
The answer [src] 
  1           
  /           
 |            
 |   log(x)   
 |  x       dx
 |            
/             
0
∫01xlog⁡(x) dx\int\limits_{0}^{1} x^{\log{\left(x \right)}}\, dx 
=
= 
  1           
  /           
 |            
 |   log(x)   
 |  x       dx
 |            
/             
0
∫01xlog⁡(x) dx\int\limits_{0}^{1} x^{\log{\left(x \right)}}\, dx 
Integral(x^log(x), (x, 0, 1))
Numerical answer [src] 
9.74113051242132e+811
9.74113051242132e+811

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

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