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  • Identical expressions

  • one /(two *pi)*(e)^(x^ two)
  • 1 divide by (2 multiply by Pi ) multiply by (e) to the power of (x squared )
  • one divide by (two multiply by Pi ) multiply by (e) to the power of (x to the power of two)
  • 1/(2*pi)*(e)(x2)
  • 1/2*pi*ex2
  • 1/(2*pi)*(e)^(x²)
  • 1/(2*pi)*(e) to the power of (x to the power of 2)
  • 1/(2pi)(e)^(x^2)
  • 1/(2pi)(e)(x2)
  • 1/2piex2
  • 1/2pie^x^2
  • 1 divide by (2*pi)*(e)^(x^2)
  • 1/(2*pi)*(e)^(x^2)dx
Solving integrals/ 1/(2*pi)*(e)^(x^2)

Integral of 1/(2*pi)*(e)^(x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                                   
 |  / 2\            ____  1          
 |  \x /          \/ pi *----*erfi(x)
 | E                     2*pi        
 | ----- dx = C + -------------------
 |  2*pi                   2         
 |                                   
/
$$\int \frac{e^{x^{2}}}{2 \pi}\, dx = C + \frac{\frac{1}{2 \pi} \sqrt{\pi} \operatorname{erfi}{\left(x \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
erfi(1) 
--------
    ____
4*\/ pi
$$\frac{\operatorname{erfi}{\left(1 \right)}}{4 \sqrt{\pi}}$$ 
=
= 
erfi(1) 
--------
    ____
4*\/ pi
$$\frac{\operatorname{erfi}{\left(1 \right)}}{4 \sqrt{\pi}}$$ 
erfi(1)/(4*sqrt(pi))
Numerical answer [src] 
0.232788255383119
0.232788255383119

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

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