Mister Exam

Other calculators

Solving integrals/ x^(x-1)

Integral of x^(x-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |   x - 1   
 |  x      dx
 |           
/            
0
$$\int\limits_{0}^{1} x^{x - 1}\, dx$$ 
Integral(x^(x - 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                  /          
 |                  |           
 |  x - 1           |  -1 + x   
 | x      dx = C +  | x       dx
 |                  |           
/                  /
$$\int x^{x - 1}\, dx = C + \int x^{x - 1}\, dx$$
Simplify
The answer [src] 
  1           
  /           
 |            
 |   -1 + x   
 |  x       dx
 |            
/             
0
$$\int\limits_{0}^{1} x^{x - 1}\, dx$$ 
=
= 
  1           
  /           
 |            
 |   -1 + x   
 |  x       dx
 |            
/             
0
$$\int\limits_{0}^{1} x^{x - 1}\, dx$$ 
Integral(x^(-1 + x), (x, 0, 1))
Numerical answer [src] 
43.2040164234326
43.2040164234326

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

    © Mister Exam – Calculator