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xe^(x/2)
Solving integrals/ xe^(x/2)

Integral of xe^(x/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3        
  /        
 |         
 |     x   
 |     -   
 |     2   
 |  x*E  dx
 |         
/          
0
$$\int\limits_{0}^{3} e^{\frac{x}{2}} x\, dx$$ 
Integral(x*E^(x/2), (x, 0, 3))
The answer (Indefinite) [src] 
  /                           
 |                            
 |    x                      x
 |    -                      -
 |    2                      2
 | x*E  dx = C + (-4 + 2*x)*e 
 |                            
/
$$\int e^{\frac{x}{2}} x\, dx = C + \left(2 x - 4\right) e^{\frac{x}{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
       3/2
4 + 2*e
$$4 + 2 e^{\frac{3}{2}}$$ 
=
= 
       3/2
4 + 2*e
$$4 + 2 e^{\frac{3}{2}}$$ 
4 + 2*exp(3/2)
Numerical answer [src] 
12.9633781406761
12.9633781406761
The graph
Integral of xe^(x/2) dx

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

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