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Solving integrals/ x*exp^(-x/2)

Integral of x*exp^(-x/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo          
  /          
 |           
 |     -x    
 |     ---   
 |      2    
 |  x*E    dx
 |           
/            
0
∫0∞e(−1)x2x dx\int\limits_{0}^{\infty} e^{\frac{\left(-1\right) x}{2}} x\, dx 
Integral(x*E^((-x)/2), (x, 0, oo))
The answer (Indefinite) [src] 
  /                               
 |                                
 |    -x                       -x 
 |    ---                      ---
 |     2                        2 
 | x*E    dx = C + (-4 - 2*x)*e   
 |                                
/
∫e(−1)x2x dx=C+(−2x−4)e−x2\int e^{\frac{\left(-1\right) x}{2}} x\, dx = C + \left(- 2 x - 4\right) e^{- \frac{x}{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.905-5
Plot the graph f(x)
The answer [src] 
4
44 
=
= 
4
44 
4

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

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