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Solving integrals/ nx^(x-1)dx

Integral of nx^(x-1)dx dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

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

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

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