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How to use it?
- Integral of d{x}:
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Integral of sin(5x)
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Integral of x²+2x
- Integral of 1/(x+lnx)
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Integral of y/sqrt(1-y^2)
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Identical expressions
- x*(e^(-x)^ three)
- x multiply by (e to the power of ( minus x) cubed )
- x multiply by (e to the power of ( minus x) to the power of three)
- x*(e(-x)3)
- x*e-x3
- x*(e^(-x)³)
- x*(e to the power of (-x) to the power of 3)
- x(e^(-x)^3)
- x(e(-x)3)
- xe-x3
- xe^-x^3
- x*(e^(-x)^3)dx
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Similar expressions
- x*(e^(x)^3)
Integral of x*(e^(-x)^3) dx
The solution
You have entered
[src]
oo / | | / 3\ | \(-x) / | x*E dx | / 0
$$\int\limits_{0}^{\infty} e^{\left(- x\right)^{3}} x\, dx$$
Integral(x*E^((-x)^3), (x, 0, oo))
The answer (Indefinite)
[src]
/ | | / 3\ / 3\ | \(-x) / 2*Gamma(2/3)*lowergamma\2/3, x / | x*E dx = C + -------------------------------- | 9*Gamma(5/3) /
$$\int e^{\left(- x\right)^{3}} x\, dx = C + \frac{2 \Gamma\left(\frac{2}{3}\right) \gamma\left(\frac{2}{3}, x^{3}\right)}{9 \Gamma\left(\frac{5}{3}\right)}$$
The answer
[src]
Gamma(2/3)
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3
$$\frac{\Gamma\left(\frac{2}{3}\right)}{3}$$
=
=
Gamma(2/3)
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3
$$\frac{\Gamma\left(\frac{2}{3}\right)}{3}$$
gamma(2/3)/3
Use the examples entering the upper and lower limits of integration.