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e^(-4x^2)
Solving integrals/ e^(-4x^2)

Integral of e^(-4x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |       2   
 |   -4*x    
 |  e      dx
 |           
/            
0
∫01e−4x2 dx\int\limits_{0}^{1} e^{- 4 x^{2}}\, dx 
Integral(E^(-4*x^2), (x, 0, 1))
Detail solution

    ErfRule(a=-4, b=0, c=0, context=E**(-4*x**2), symbol=x)

  1. Add the constant of integration:

    πerf⁡(2x)4+constant\frac{\sqrt{\pi} \operatorname{erf}{\left(2 x \right)}}{4}+ \mathrm{constant}

The answer is:

πerf⁡(2x)4+constant\frac{\sqrt{\pi} \operatorname{erf}{\left(2 x \right)}}{4}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                               
 |                                
 |      2            ____         
 |  -4*x           \/ pi *erf(2*x)
 | e      dx = C + ---------------
 |                        4       
/
π erf(2 x)4{{\sqrt{\pi}\,\mathrm{erf}\left(2\,x\right)}\over{4}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
  ____       
\/ pi *erf(2)
-------------
      4
π erf(2)4{{\sqrt{\pi}\,\mathrm{erf}\left(2\right)}\over{4}} 
=
= 
  ____       
\/ pi *erf(2)
-------------
      4
πerf⁡(2)4\frac{\sqrt{\pi} \operatorname{erf}{\left(2 \right)}}{4}
Упростить
Numerical answer [src] 
0.441040695381211
0.441040695381211
The graph
Integral of e^(-4x^2) dx

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

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