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x^2*e^(x*(-2))

Integral of x^2*e^(x*(-2)) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |   2  x*(-2)   
 |  x *E       dx
 |               
/                
0                
$$\int\limits_{0}^{1} e^{\left(-2\right) x} x^{2}\, dx$$
Integral(x^2*E^(x*(-2)), (x, 0, 1))
The answer (Indefinite) [src]
  /                                             
 |                     /              2\  x*(-2)
 |  2  x*(-2)          \-1 - 2*x - 2*x /*e      
 | x *E       dx = C + -------------------------
 |                                 4            
/                                               
$$\int e^{\left(-2\right) x} x^{2}\, dx = C + \frac{\left(- 2 x^{2} - 2 x - 1\right) e^{\left(-2\right) x}}{4}$$
The graph
The answer [src]
       -2
1   5*e  
- - -----
4     4  
$$\frac{1}{4} - \frac{5}{4 e^{2}}$$
=
=
       -2
1   5*e  
- - -----
4     4  
$$\frac{1}{4} - \frac{5}{4 e^{2}}$$
1/4 - 5*exp(-2)/4
Numerical answer [src]
0.0808308959542341
0.0808308959542341
The graph
Integral of x^2*e^(x*(-2)) dx

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