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Solving integrals/ 10xe^(-5x)

Integral of 10xe^(-5x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |        -5*x   
 |  10*x*E     dx
 |               
/                
0
$$\int\limits_{0}^{1} e^{- 5 x} 10 x\, dx$$ 
Integral((10*x)*E^(-5*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                     
 |                                  -5*x
 |       -5*x          (-2 - 10*x)*e    
 | 10*x*E     dx = C + -----------------
 |                             5        
/
$$\int e^{- 5 x} 10 x\, dx = C + \frac{\left(- 10 x - 2\right) e^{- 5 x}}{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        -5
2   12*e  
- - ------
5     5
$$\frac{2}{5} - \frac{12}{5 e^{5}}$$ 
=
= 
        -5
2   12*e  
- - ------
5     5
$$\frac{2}{5} - \frac{12}{5 e^{5}}$$ 
2/5 - 12*exp(-5)/5
Numerical answer [src] 
0.383828927202195
0.383828927202195

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

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