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exp(x²)
Solving integrals/ exp(x²)

Integral of exp(x²) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |   / 2\   
 |   \x /   
 |  e     dx
 |          
/           
0
$$\int\limits_{0}^{1} e^{x^{2}}\, dx$$ 
Integral(exp(x^2), (x, 0, 1))
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       
/
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,x\right)}\over{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  ____        
\/ pi *erfi(1)
--------------
      2
$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\right)}\over{2}}$$ 
=
= 
  ____        
\/ pi *erfi(1)
--------------
      2
$$\frac{\sqrt{\pi} \operatorname{erfi}{\left(1 \right)}}{2}$$
Упростить
Numerical answer [src] 
1.46265174590718
1.46265174590718
The graph
Integral of exp(x²) dx

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

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