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x*e^(3x)
Solving integrals/ x*e^(3x)

Integral of x*e^(3x) dx

Limits of integration:

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v

The graph:

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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   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.

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