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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 e^(-x^2)
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Integral of 5
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Integral of x*cos(x)
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Integral of pi
- Graphing y =:
- e^(-x^2)
- Limit of the function:
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e^(-x^2)
- Derivative of:
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e^(-x^2)
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Identical expressions
- e^(-x^ two)
- e to the power of ( minus x squared )
- e to the power of ( minus x to the power of two)
- e(-x2)
- e-x2
- e^(-x²)
- e to the power of (-x to the power of 2)
- e^-x^2
- e^(-x^2)dx
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Similar expressions
- e^(x^2)
- 2000e^(-x^2/20)
- x^2*e^-x^2
- sinh(x)*sinh(sqrt(e^x+e^(-x)))^2
Integral of e^(-x^2) dx
The solution
You have entered
[src]
1 / | | 2 | -x | E dx | / 0
$$\int\limits_{0}^{1} e^{- x^{2}}\, dx$$
Integral(E^(-x^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 ____ | -x \/ pi *erf(x) | E dx = C + ------------- | 2 /
$$\int e^{- x^{2}}\, dx = C + \frac{\sqrt{\pi} \operatorname{erf}{\left(x \right)}}{2}$$
The graph
The answer
[src]
____
\/ pi *erf(1)
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2
$$\frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{2}$$
=
=
____
\/ pi *erf(1)
-------------
2
$$\frac{\sqrt{\pi} \operatorname{erf}{\left(1 \right)}}{2}$$
sqrt(pi)*erf(1)/2
The graph
Use the examples entering the upper and lower limits of integration.