Mister Exam

Other calculators

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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |      -x    
 |      ---   
 |   2   2    
 |  x *E    dx
 |            
/             
0
∫01e(−1)x2x2 dx\int\limits_{0}^{1} e^{\frac{\left(-1\right) x}{2}} x^{2}\, dx 
Integral(x^2*E^((-x)/2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                                         
 |     -x                               -x 
 |     ---                              ---
 |  2   2           /               2\   2 
 | x *E    dx = C + \-16 - 8*x - 2*x /*e   
 |                                         
/
∫e(−1)x2x2 dx=C+(−2x2−8x−16)e−x2\int e^{\frac{\left(-1\right) x}{2}} x^{2}\, dx = C + \left(- 2 x^{2} - 8 x - 16\right) e^{- \frac{x}{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-2020
Plot the graph f(x)
The answer [src] 
         -1/2
16 - 26*e
16−26e1216 - \frac{26}{e^{\frac{1}{2}}} 
=
= 
         -1/2
16 - 26*e
16−26e1216 - \frac{26}{e^{\frac{1}{2}}} 
16 - 26*exp(-1/2)
Numerical answer [src] 
0.230202847471531
0.230202847471531
The graph
Integral of x^2*e^((-x)/2) dx

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

    © Mister Exam – Calculator