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- 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 1/(x^2+3)
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Integral of x^-3
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Integral of e^((-x^2)/2)
- Integral of a^x
- Derivative of:
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e^((-x^2)/2)
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Identical expressions
- e^((-x^ two)/ two)
- e to the power of (( minus x squared ) divide by 2)
- e to the power of (( minus x to the power of two) divide by two)
- e((-x2)/2)
- e-x2/2
- e^((-x²)/2)
- e to the power of ((-x to the power of 2)/2)
- e^-x^2/2
- e^((-x^2) divide by 2)
- e^((-x^2)/2)dx
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Similar expressions
- e^((x^2)/2)
- e^(-x^2/2)
Integral of e^((-x^2)/2) dx
The solution
You have entered
[src]
1 / | | 2 | -x | ---- | 2 | E dx | / 0
$$\int\limits_{0}^{1} e^{\frac{\left(-1\right) x^{2}}{2}}\, dx$$
Integral(E^((-x^2)/2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 / ___\ | -x ___ ____ |x*\/ 2 | | ---- \/ 2 *\/ pi *erf|-------| | 2 \ 2 / | E dx = C + ------------------------- | 2 /
$$\int e^{\frac{\left(-1\right) x^{2}}{2}}\, dx = C + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}$$
The graph
The answer
[src]
/ ___\
___ ____ |\/ 2 |
\/ 2 *\/ pi *erf|-----|
\ 2 /
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2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{\sqrt{2}}{2} \right)}}{2}$$
=
=
/ ___\
___ ____ |\/ 2 |
\/ 2 *\/ pi *erf|-----|
\ 2 /
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2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erf}{\left(\frac{\sqrt{2}}{2} \right)}}{2}$$
sqrt(2)*sqrt(pi)*erf(sqrt(2)/2)/2
The graph
Use the examples entering the upper and lower limits of integration.