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e^(x^2)dx

Integral of e^(x^2)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |   / 2\     
 |   \x /     
 |  e    *1 dx
 |            
/             
0             
$$\int\limits_{0}^{1} e^{x^{2}} \cdot 1\, dx$$
Integral(E^(x^2)*1, (x, 0, 1))
Detail solution

    ErfRule(a=1, b=0, c=0, context=E**(x**2)*1, symbol=x)

  1. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                               
 |                                
 |  / 2\              ____        
 |  \x /            \/ pi *erfi(x)
 | e    *1 dx = C + --------------
 |                        2       
/                                 
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,x\right)}\over{2}}$$
The graph
The answer [src]
  ____        
\/ pi *erfi(1)
--------------
      2       
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\right)}\over{2}}$$
=
=
  ____        
\/ pi *erfi(1)
--------------
      2       
$$\frac{\sqrt{\pi} \operatorname{erfi}{\left(1 \right)}}{2}$$
Numerical answer [src]
1.46265174590718
1.46265174590718
The graph
Integral of e^(x^2)dx dx

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