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

You entered:

x^2*e^-x^2

What you mean?

x^2*e^((-x)^2)
 
x^2*e^(-x^2)
 
x^((2*e)^((-x)^2))
 
x^((2*e)^(-x^2))
 
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] 
 oo           
  /           
 |            
 |        2   
 |   2  -x    
 |  x *E    dx
 |            
/             
0
$$\int\limits_{0}^{\infty} e^{- x^{2}} x^{2}\, dx$$ 
Integral(x^2*E^(-x^2), (x, 0, oo))
The answer (Indefinite) [src] 
  /                                       
 |                       2                
 |       2             -x      ____       
 |  2  -x           x*e      \/ pi *erf(x)
 | x *E    dx = C - ------ + -------------
 |                    2            4      
/
$$\int e^{- x^{2}} x^{2}\, dx = C - \frac{x e^{- x^{2}}}{2} + \frac{\sqrt{\pi} \operatorname{erf}{\left(x \right)}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  ____
\/ pi 
------
  4
$$\frac{\sqrt{\pi}}{4}$$ 
=
= 
  ____
\/ pi 
------
  4
$$\frac{\sqrt{\pi}}{4}$$ 
sqrt(pi)/4
The graph
Integral of x^2*e^-x^2 dx

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

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