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xe^(-9x)
Solving integrals/ xe^(-9x)

Integral of xe^(-9x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     -9*x   
 |  x*E     dx
 |            
/             
0
$$\int\limits_{0}^{1} e^{- 9 x} x\, dx$$ 
Integral(x*E^(-9*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                 
 |                              -9*x
 |    -9*x          (-1 - 9*x)*e    
 | x*E     dx = C + ----------------
 |                         81       
/
$$\int e^{- 9 x} x\, dx = C + \frac{\left(- 9 x - 1\right) e^{- 9 x}}{81}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         -9
1    10*e  
-- - ------
81     81
$$\frac{1}{81} - \frac{10}{81 e^{9}}$$ 
=
= 
         -9
1    10*e  
-- - ------
81     81
$$\frac{1}{81} - \frac{10}{81 e^{9}}$$ 
1/81 - 10*exp(-9)/81
Numerical answer [src] 
0.0123304432340634
0.0123304432340634
The graph
Integral of xe^(-9x) dx

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

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