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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of k
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Integral of -y
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Integral of x*e^(2*x)*dx
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Integral of (1-x^2)^(1/2)
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Identical expressions
- exp(-((y- two)^ two))
- exponent of ( minus ((y minus 2) squared ))
- exponent of ( minus ((y minus two) to the power of two))
- exp(-((y-2)2))
- exp-y-22
- exp(-((y-2)²))
- exp(-((y-2) to the power of 2))
- exp-y-2^2
- exp(-((y-2)^2))dx
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Similar expressions
- exp(-((y+2)^2))
- exp(((y-2)^2))
Integral of exp(-((y-2)^2)) dy
The solution
You have entered
[src]
3 + x
/
|
| 2
| -(y - 2)
| e dy
|
/
-3 + x
$$\int\limits_{x - 3}^{x + 3} e^{- \left(y - 2\right)^{2}}\, dy$$
Integral(exp(-(y - 2)^2), (y, -3 + x, 3 + x))
The answer (Indefinite)
[src]
/ | | 2 ____ | -(y - 2) \/ pi *erf(-2 + y) | e dy = C + ------------------ | 2 /
$$\int e^{- \left(y - 2\right)^{2}}\, dy = C + \frac{\sqrt{\pi} \operatorname{erf}{\left(y - 2 \right)}}{2}$$
The answer
[src]
____ ____
\/ pi *erf(1 + x) \/ pi *erf(-5 + x)
----------------- - ------------------
2 2
$$- \frac{\sqrt{\pi} \operatorname{erf}{\left(x - 5 \right)}}{2} + \frac{\sqrt{\pi} \operatorname{erf}{\left(x + 1 \right)}}{2}$$
=
=
____ ____
\/ pi *erf(1 + x) \/ pi *erf(-5 + x)
----------------- - ------------------
2 2
$$- \frac{\sqrt{\pi} \operatorname{erf}{\left(x - 5 \right)}}{2} + \frac{\sqrt{\pi} \operatorname{erf}{\left(x + 1 \right)}}{2}$$
sqrt(pi)*erf(1 + x)/2 - sqrt(pi)*erf(-5 + x)/2
Use the examples entering the upper and lower limits of integration.