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Solving integrals/ e^(x^2)dx

Integral of e^(x^2)dx dx

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)

Add the constant of integration:

$\frac{\sqrt{\pi} \operatorname{erfi}{\left(x \right)}}{2}+ \mathrm{constant}$

The answer is:

$\frac{\sqrt{\pi} \operatorname{erfi}{\left(x \right)}}{2}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                               
 |                                
 |  / 2\              ____        
 |  \x /            \/ pi *erfi(x)
 | e    *1 dx = C + --------------
 |                        2       
/

$$-{{\sqrt{\pi}\,i\,\mathrm{erf}\left(i\,x\right)}\over{2}}$$

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

$$\frac{\sqrt{\pi} \operatorname{erfi}{\left(1 \right)}}{2}$$

Simplify

Numerical answer [src]

1.46265174590718

1.46265174590718

The graph

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

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Identical expressions

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Integral of e^(x^2)dx dx

Limits of integration:

The graph:

Piecewise:

The solution