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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(x+2)^2
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Integral of xarctanx
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Integral of e^(x^3)
- Integral of ln(x)/x^3
- 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 (x cubed )
- e to the power of (x to the power of three)
- e(x3)
- ex3
- 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
- x^2*e^(x^3+5)
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]
/ -pi*I | ------ | / 3\ 3 / 3 pi*I\ | \x / e *Gamma(1/3)*lowergamma\1/3, x *e / | E dx = C + -------------------------------------------- | 9*Gamma(4/3) /
$$\int e^{x^{3}}\, dx = C + \frac{e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) \gamma\left(\frac{1}{3}, x^{3} e^{i \pi}\right)}{9 \Gamma\left(\frac{4}{3}\right)}$$
The graph
The answer
[src]
-pi*I
------
3 / pi*I\
e *Gamma(1/3)*lowergamma\1/3, e /
-----------------------------------------
9*Gamma(4/3)
$$\frac{e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) \gamma\left(\frac{1}{3}, e^{i \pi}\right)}{9 \Gamma\left(\frac{4}{3}\right)}$$
=
=
-pi*I
------
3 / pi*I\
e *Gamma(1/3)*lowergamma\1/3, e /
-----------------------------------------
9*Gamma(4/3)
$$\frac{e^{- \frac{i \pi}{3}} \Gamma\left(\frac{1}{3}\right) \gamma\left(\frac{1}{3}, e^{i \pi}\right)}{9 \Gamma\left(\frac{4}{3}\right)}$$
exp(-pi*i/3)*gamma(1/3)*lowergamma(1/3, exp_polar(pi*i))/(9*gamma(4/3))
The graph
Use the examples entering the upper and lower limits of integration.