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Solving integrals/ exp(x^2)

Integral of exp(x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo         
  /         
 |          
 |   / 2\   
 |   \x /   
 |  e     dx
 |          
/           
-oo
$$\int\limits_{-\infty}^{\infty} e^{x^{2}}\, dx$$ 
Integral(exp(x^2), (x, -oo, oo))
Detail solution

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

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                              
 |  / 2\            ____        
 |  \x /          \/ pi *erfi(x)
 | e     dx = C + --------------
 |                      2       
/
$$\int e^{x^{2}}\, dx = C + \frac{\sqrt{\pi} \operatorname{erfi}{\left(x \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
5.51029427311099e+43237952332788194986413234276585485457
5.51029427311099e+43237952332788194986413234276585485457

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

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