Mister Exam

Other calculators

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
$$\int\limits_{0}^{1} e^{- 4 x^{2}}\, dx$$ 
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:

The answer is:

The answer (Indefinite) [src] 
  /                               
 |                                
 |      2            ____         
 |  -4*x           \/ pi *erf(2*x)
 | e      dx = C + ---------------
 |                        4       
/
$${{\sqrt{\pi}\,\mathrm{erf}\left(2\,x\right)}\over{4}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  ____       
\/ pi *erf(2)
-------------
      4
$${{\sqrt{\pi}\,\mathrm{erf}\left(2\right)}\over{4}}$$ 
=
= 
  ____       
\/ pi *erf(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.

    © Mister Exam – Calculator