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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
- Integral of x*dx/sqrt(x^2+x+2)
- Integral of xcoscos(3x²+2)dx
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Integral of (x^3)/6
- Integral of x*l^(-x^2)
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Identical expressions
- x*l^(-x^ two)
- x multiply by l to the power of ( minus x squared )
- x multiply by l to the power of ( minus x to the power of two)
- x*l(-x2)
- x*l-x2
- x*l^(-x²)
- x*l to the power of (-x to the power of 2)
- xl^(-x^2)
- xl(-x2)
- xl-x2
- xl^-x^2
- x*l^(-x^2)dx
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Similar expressions
- x*l^(x^2)
Integral of x*l^(-x^2) dx
The solution
You have entered
[src]
oo / | | 2 | -x | x*l dx | / 0
$$\int\limits_{0}^{\infty} l^{- x^{2}} x\, dx$$
Integral(x*l^(-x^2), (x, 0, oo))
The answer (Indefinite)
[src]
/ 2
| -x
| l
|------ for log(l) != 0
$$\int l^{- x^{2}} x\, dx = C - \frac{\begin{cases} \frac{l^{- x^{2}}}{\log{\left(l \right)}} & \text{for}\: \log{\left(l \right)} \neq 0 \\- x^{2} & \text{otherwise} \end{cases}}{2}$$
The answer
[src]
oo / | | 2 | -x | x*l dx | / 0
$$\int\limits_{0}^{\infty} l^{- x^{2}} x\, dx$$
=
=
oo / | | 2 | -x | x*l dx | / 0
$$\int\limits_{0}^{\infty} l^{- x^{2}} x\, dx$$
Integral(x*l^(-x^2), (x, 0, oo))
Use the examples entering the upper and lower limits of integration.