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e^(-x^2)

Integral of e^(-x^2) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     2   
 |   -x    
 |  E    dx
 |         
/          
0          
$$\int\limits_{0}^{1} e^{- x^{2}}\, dx$$
Integral(E^(-x^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                           
 |                            
 |    2            ____       
 |  -x           \/ pi *erf(x)
 | E    dx = C + -------------
 |                     2      
/                             
$$\int e^{- x^{2}}\, dx = C + \frac{\sqrt{\pi} \operatorname{erf}{\left(x \right)}}{2}$$
The graph
The answer [src]
  ____       
\/ pi *erf(1)
-------------
      2      
$$\frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{2}$$
=
=
  ____       
\/ pi *erf(1)
-------------
      2      
$$\frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{2}$$
sqrt(pi)*erf(1)/2
Numerical answer [src]
0.746824132812427
0.746824132812427
The graph
Integral of e^(-x^2) dx

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