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xe^-1
Solving integrals/ xe^-1

Integral of xe^-1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1     
  /     
 |      
 |  x   
 |  - dx
 |  E   
 |      
/       
0
$$\int\limits_{0}^{1} \frac{x}{e}\, dx$$ 
Integral(x/E, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                 
 |             2  -1
 | x          x *e  
 | - dx = C + ------
 | E            2   
 |                  
/
$$\int \frac{x}{e}\, dx = C + \frac{x^{2}}{2 e}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 -1
e  
---
 2
$$\frac{1}{2 e}$$ 
=
= 
 -1
e  
---
 2
$$\frac{1}{2 e}$$ 
exp(-1)/2
Numerical answer [src] 
0.183939720585721
0.183939720585721
The graph
Integral of xe^-1 dx

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

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