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x/(e^(-3x))

Integral of x/(e^(-3x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1         
  /         
 |          
 |    x     
 |  ----- dx
 |   -3*x   
 |  E       
 |          
/           
0           
$$\int\limits_{0}^{1} \frac{x}{e^{- 3 x}}\, dx$$
Integral(x/E^(-3*x), (x, 0, 1))
The answer (Indefinite) [src]
  /                              
 |                            3*x
 |   x            (-1 + 3*x)*e   
 | ----- dx = C + ---------------
 |  -3*x                 9       
 | E                             
 |                               
/                                
$$\int \frac{x}{e^{- 3 x}}\, dx = C + \frac{\left(3 x - 1\right) e^{3 x}}{9}$$
The graph
The answer [src]
       3
1   2*e 
- + ----
9    9  
$$\frac{1}{9} + \frac{2 e^{3}}{9}$$
=
=
       3
1   2*e 
- + ----
9    9  
$$\frac{1}{9} + \frac{2 e^{3}}{9}$$
1/9 + 2*exp(3)/9
Numerical answer [src]
4.57456376070837
4.57456376070837
The graph
Integral of x/(e^(-3x)) dx

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