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

Integral of xe^(x/3)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     x   
 |     -   
 |     3   
 |  x*E  dx
 |         
/          
0
$$\int\limits_{0}^{1} e^{\frac{x}{3}} x\, dx$$ 
Integral(x*E^(x/3), (x, 0, 1))
The answer (Indefinite) [src] 
  /                           
 |                            
 |    x                      x
 |    -                      -
 |    3                      3
 | x*E  dx = C + (-9 + 3*x)*e 
 |                            
/
$$\int e^{\frac{x}{3}} x\, dx = C + \left(3 x - 9\right) e^{\frac{x}{3}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       1/3
9 - 6*e
$$9 - 6 e^{\frac{1}{3}}$$ 
=
= 
       1/3
9 - 6*e
$$9 - 6 e^{\frac{1}{3}}$$ 
9 - 6*exp(1/3)
Numerical answer [src] 
0.626325449483463
0.626325449483463
The graph
Integral of xe^(x/3)dx dx

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

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