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Integral of x*exp^(-2*x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 oo           
  /           
 |            
 |     -2*x   
 |  x*E     dx
 |            
/             
0             
$$\int\limits_{0}^{\infty} e^{- 2 x} x\, dx$$
Integral(x*E^(-2*x), (x, 0, oo))
The answer (Indefinite) [src]
  /                                 
 |                              -2*x
 |    -2*x          (-1 - 2*x)*e    
 | x*E     dx = C + ----------------
 |                         4        
/                                   
$$\int e^{- 2 x} x\, dx = C + \frac{\left(- 2 x - 1\right) e^{- 2 x}}{4}$$
The graph
The answer [src]
1/4
$$\frac{1}{4}$$
=
=
1/4
$$\frac{1}{4}$$
1/4

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