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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of e^(-x^3)
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Integral of (x^2)
- Integral of |x|+1dx
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Integral of dx/(3*x-7)
- Limit of the function:
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e^(-x^3)
- Derivative of:
- e^(-x^3)
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Identical expressions
- e^(-x^ three)
- e to the power of ( minus x cubed )
- e to the power of ( minus x to the power of three)
- e(-x3)
- e-x3
- e^(-x³)
- e to the power of (-x to the power of 3)
- e^-x^3
- e^(-x^3)dx
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Similar expressions
- e^(x^3)
Integral of e^(-x^3) dx
The solution
You have entered
[src]
1 / | | 3 | -x | E dx | / 0
$$\int\limits_{0}^{1} e^{- x^{3}}\, dx$$
Integral(E^(-x^3), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 3 / 3\ | -x Gamma(1/3)*lowergamma\1/3, x / | E dx = C + ------------------------------ | 9*Gamma(4/3) /
$$\int e^{- x^{3}}\, dx = C + \frac{\Gamma\left(\frac{1}{3}\right) \gamma\left(\frac{1}{3}, x^{3}\right)}{9 \Gamma\left(\frac{4}{3}\right)}$$
The graph
The answer
[src]
Gamma(1/3)*lowergamma(1/3, 1)
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9*Gamma(4/3)
$$\frac{\Gamma\left(\frac{1}{3}\right) \gamma\left(\frac{1}{3}, 1\right)}{9 \Gamma\left(\frac{4}{3}\right)}$$
=
=
Gamma(1/3)*lowergamma(1/3, 1)
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9*Gamma(4/3)
$$\frac{\Gamma\left(\frac{1}{3}\right) \gamma\left(\frac{1}{3}, 1\right)}{9 \Gamma\left(\frac{4}{3}\right)}$$
gamma(1/3)*lowergamma(1/3, 1)/(9*gamma(4/3))
The graph
Use the examples entering the upper and lower limits of integration.