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x*e^(-4x)
Solving integrals/ x*e^(-4x)

Integral of x*e^(-4x) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
 oo           
  /           
 |            
 |     -4*x   
 |  x*E     dx
 |            
/             
0
$$\int\limits_{0}^{\infty} e^{- 4 x} x\, dx$$ 
Integral(x*E^(-4*x), (x, 0, oo))
The answer (Indefinite) [src] 
  /                                 
 |                              -4*x
 |    -4*x          (-1 - 4*x)*e    
 | x*E     dx = C + ----------------
 |                         16       
/
$$\int e^{- 4 x} x\, dx = C + \frac{\left(- 4 x - 1\right) e^{- 4 x}}{16}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/16
$$\frac{1}{16}$$ 
=
= 
1/16
$$\frac{1}{16}$$ 
1/16
The graph
Integral of x*e^(-4x) dx

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

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