Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of e^(-2x^2)
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Integral of sin(30)
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Integral of e^(-2x)*sin(3x)
- Integral of (2x^2-5)/(x^4-5x^2+6)
- Graphing y =:
- e^(-2x^2)
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Identical expressions
- e^(- two x^2)
- e to the power of ( minus 2x squared )
- e to the power of ( minus two x squared )
- e(-2x2)
- e-2x2
- e^(-2x²)
- e to the power of (-2x to the power of 2)
- e^-2x^2
- e^(-2x^2)dx
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Similar expressions
- e^(2x^2)
Integral of e^(-2x^2) dx
The solution
Detail solution
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Add the constant of integration:
ErfRule(a=-2, b=0, c=0, context=E**(-2*x**2), symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ | | 2 ___ ____ / ___\ | -2*x \/ 2 *\/ pi *erf\x*\/ 2 / | e dx = C + ------------------------- | 4 /
$${{\sqrt{\pi}\,\mathrm{erf}\left(\sqrt{2}\,x\right)}\over{2^{{{3
}\over{2}}}}}$$
The graph
The answer
[src]
___ ____ / ___\
\/ 2 *\/ pi *erf\\/ 2 /
-----------------------
4
$${{\sqrt{\pi}\,\mathrm{erf}\left(\sqrt{2}\right)}\over{2^{{{3}\over{
2}}}}}$$
=
=
___ ____ / ___\
\/ 2 *\/ pi *erf\\/ 2 /
-----------------------
4
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\sqrt{2} \right)}}{4}$$
The graph
Use the examples entering the upper and lower limits of integration.