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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of (x^2-sin(x^2))/(x^6*sqrt(x))
- Integral of tan^-1x
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Integral of x/(1-x^4)^(1/2)
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Integral of (x+1)e^x
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Identical expressions
- e^(-x^ two)cos(ax)
- e to the power of ( minus x squared ) co sinus of e of (ax)
- e to the power of ( minus x to the power of two) co sinus of e of (ax)
- e(-x2)cos(ax)
- e-x2cosax
- e^(-x²)cos(ax)
- e to the power of (-x to the power of 2)cos(ax)
- e^-x^2cosax
- e^(-x^2)cos(ax)dx
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Similar expressions
- e^(x^2)cos(ax)
Integral of e^(-x^2)cos(ax) dx
The solution
You have entered
[src]
oo / | | 2 | -x | E *cos(a*x) dx | / 0
$$\int\limits_{0}^{\infty} e^{- x^{2}} \cos{\left(a x \right)}\, dx$$
Integral(E^(-x^2)*cos(a*x), (x, 0, oo))
The answer (Indefinite)
[src]
/ / | | | 2 | 2 | -x | -x | E *cos(a*x) dx = C + | cos(a*x)*e dx | | / /
$$\int e^{- x^{2}} \cos{\left(a x \right)}\, dx = C + \int e^{- x^{2}} \cos{\left(a x \right)}\, dx$$
The answer
[src]
2
-a
----
____ 4
\/ pi *e
------------
2
$$\frac{\sqrt{\pi} e^{- \frac{a^{2}}{4}}}{2}$$
=
=
2
-a
----
____ 4
\/ pi *e
------------
2
$$\frac{\sqrt{\pi} e^{- \frac{a^{2}}{4}}}{2}$$
sqrt(pi)*exp(-a^2/4)/2
Use the examples entering the upper and lower limits of integration.