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

Integral of e^(-x^2) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     2   
 |   -x    
 |  E    dx
 |         
/          
0
∫01e−x2 dx\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      
/
∫e−x2 dx=C+πerf⁡(x)2\int e^{- x^{2}}\, dx = C + \frac{\sqrt{\pi} \operatorname{erf}{\left(x \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
  ____       
\/ pi *erf(1)
-------------
      2
πerf⁡(1)2\frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{2} 
=
= 
  ____       
\/ pi *erf(1)
-------------
      2
πerf⁡(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.

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