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