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

Integral of 3xe^(-3x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |       -3*x   
 |  3*x*E     dx
 |              
/               
0
$$\int\limits_{0}^{1} e^{- 3 x} 3 x\, dx$$ 
Integral((3*x)*E^(-3*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                   
 |                                -3*x
 |      -3*x          (-1 - 3*x)*e    
 | 3*x*E     dx = C + ----------------
 |                           3        
/
$$\int e^{- 3 x} 3 x\, dx = C + \frac{\left(- 3 x - 1\right) e^{- 3 x}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       -3
1   4*e  
- - -----
3     3
$$\frac{1}{3} - \frac{4}{3 e^{3}}$$ 
=
= 
       -3
1   4*e  
- - -----
3     3
$$\frac{1}{3} - \frac{4}{3 e^{3}}$$ 
1/3 - 4*exp(-3)/3
Numerical answer [src] 
0.266950575509515
0.266950575509515
The graph
Integral of 3xe^(-3x) dx

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

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