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erf(x)
Solving integrals/ erf(x)

Integral of erf(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |  erf(x) dx
 |           
/            
0
$$\int\limits_{0}^{1} \operatorname{erf}{\left(x \right)}\, dx$$ 
Integral(erf(x), (x, 0, 1))
The answer (Indefinite) [src] 
                                  2 
  /                             -x  
 |                             e    
 | erf(x) dx = C + x*erf(x) + ------
 |                              ____
/                             \/ pi
$$x\,\mathrm{erf}\left(x\right)+{{e^ {- x^2 }}\over{\sqrt{\pi}}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
             -1           
    1       e             
- ------ + ------ + erf(1)
    ____     ____         
  \/ pi    \/ pi
$${{e^ {- 1 }\,\left(\sqrt{\pi}\,e\,\mathrm{erf}\left(1\right)+1 \right)}\over{\sqrt{\pi}}}-{{1}\over{\sqrt{\pi}}}$$ 
=
= 
             -1           
    1       e             
- ------ + ------ + erf(1)
    ____     ____         
  \/ pi    \/ pi
$$- \frac{1}{\sqrt{\pi}} + \frac{1}{e \sqrt{\pi}} + \operatorname{erf}{\left(1 \right)}$$
Simplify
Numerical answer [src] 
0.486064958112256
0.486064958112256
The graph
Integral of erf(x) dx

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

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