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xe^(-3x)
Solving integrals/ xe^(-3x)

Integral of xe^(-3x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     -3*x   
 |  x*E     dx
 |            
/             
0
$$\int\limits_{0}^{1} e^{- 3 x} x\, dx$$ 
Integral(x*E^(-3*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                 
 |                              -3*x
 |    -3*x          (-1 - 3*x)*e    
 | x*E     dx = C + ----------------
 |                         9        
/
$$\int e^{- 3 x} x\, dx = C + \frac{\left(- 3 x - 1\right) e^{- 3 x}}{9}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       -3
1   4*e  
- - -----
9     9
$$\frac{1}{9} - \frac{4}{9 e^{3}}$$ 
=
= 
       -3
1   4*e  
- - -----
9     9
$$\frac{1}{9} - \frac{4}{9 e^{3}}$$ 
1/9 - 4*exp(-3)/9
Numerical answer [src] 
0.0889835251698382
0.0889835251698382
The graph
Integral of xe^(-3x) dx

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

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