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xe^(-2x)dx
Solving integrals/ xe^(-2x)dx

Integral of xe^(-2x)dx dx

Limits of integration:

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v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     -2*x   
 |  x*E     dx
 |            
/             
0
$$\int\limits_{0}^{1} e^{- 2 x} x\, dx$$ 
Integral(x*E^(-2*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                 
 |                              -2*x
 |    -2*x          (-1 - 2*x)*e    
 | x*E     dx = C + ----------------
 |                         4        
/
$$\int e^{- 2 x} x\, dx = C + \frac{\left(- 2 x - 1\right) e^{- 2 x}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       -2
1   3*e  
- - -----
4     4
$$\frac{1}{4} - \frac{3}{4 e^{2}}$$ 
=
= 
       -2
1   3*e  
- - -----
4     4
$$\frac{1}{4} - \frac{3}{4 e^{2}}$$ 
1/4 - 3*exp(-2)/4
Numerical answer [src] 
0.14849853757254
0.14849853757254
The graph
Integral of xe^(-2x)dx dx

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

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