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e^((x^2)/2)

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  • Identical expressions

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  • e^((x^2) divide by 2)
  • e^((x^2)/2)dx
Solving integrals/ e^((x^2)/2)

Integral of e^((x^2)/2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |    2   
 |   x    
 |   --   
 |   2    
 |  E   dx
 |        
/         
0
$$\int\limits_{0}^{1} e^{\frac{x^{2}}{2}}\, dx$$ 
Integral(E^(x^2/2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                       
 |                                        
 |   2                           /    ___\
 |  x             ___   ____     |x*\/ 2 |
 |  --          \/ 2 *\/ pi *erfi|-------|
 |  2                            \   2   /
 | E   dx = C + --------------------------
 |                          2             
/
$$\int e^{\frac{x^{2}}{2}}\, dx = C + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
                 /  ___\
  ___   ____     |\/ 2 |
\/ 2 *\/ pi *erfi|-----|
                 \  2  /
------------------------
           2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2}}{2} \right)}}{2}$$ 
=
= 
                 /  ___\
  ___   ____     |\/ 2 |
\/ 2 *\/ pi *erfi|-----|
                 \  2  /
------------------------
           2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2}}{2} \right)}}{2}$$ 
sqrt(2)*sqrt(pi)*erfi(sqrt(2)/2)/2
Numerical answer [src] 
1.19495766191023
1.19495766191023
The graph
Integral of e^((x^2)/2) dx

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

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