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exp(-y^2)
Solving integrals/ exp(-y^2)

Integral of exp(-y^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     2   
 |   -y    
 |  e    dy
 |         
/          
0
$$\int\limits_{0}^{1} e^{- y^{2}}\, dy$$ 
Integral(exp(-y^2), (y, 0, 1))
Detail solution

    ErfRule(a=-1, b=0, c=0, context=exp(-y**2), symbol=y)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                           
 |                            
 |    2            ____       
 |  -y           \/ pi *erf(y)
 | e    dy = C + -------------
 |                     2      
/
$${{\sqrt{\pi}\,\mathrm{erf}\left(y\right)}\over{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  ____       
\/ pi *erf(1)
-------------
      2
$${{\sqrt{\pi}\,\mathrm{erf}\left(1\right)}\over{2}}$$ 
=
= 
  ____       
\/ pi *erf(1)
-------------
      2
$$\frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{2}$$
Simplify
Numerical answer [src] 
0.746824132812427
0.746824132812427
The graph
Integral of exp(-y^2) dx

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

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