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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
- Integral of x/(x-1)^2
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Integral of 1/(1+x^2)^1/2
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Integral of x^2/4
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Integral of sin(e^x)
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Identical expressions
- e^((x^ two)/ two)
- e to the power of ((x squared ) divide by 2)
- e to the power of ((x to the power of two) divide by two)
- e((x2)/2)
- ex2/2
- e^((x²)/2)
- e to the power of ((x to the power of 2)/2)
- e^x^2/2
- e^((x^2) divide by 2)
- e^((x^2)/2)dx
Integral of e^((x^2)/2) dx
The solution
You have entered
[src]
1 / | | 2 | x | -- | 2 | E dx | / 0
$$\int\limits_{0}^{1} e^{\frac{x^{2}}{2}}\, dx$$
Integral(E^(x^2/2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 / ___\ | x ___ ____ |x*\/ 2 | | -- \/ 2 *\/ pi *erfi|-------| | 2 \ 2 / | E dx = C + -------------------------- | 2 /
$$\int e^{\frac{x^{2}}{2}}\, dx = C + \frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2} x}{2} \right)}}{2}$$
The graph
The answer
[src]
/ ___\
___ ____ |\/ 2 |
\/ 2 *\/ pi *erfi|-----|
\ 2 /
------------------------
2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2}}{2} \right)}}{2}$$
=
=
/ ___\
___ ____ |\/ 2 |
\/ 2 *\/ pi *erfi|-----|
\ 2 /
------------------------
2
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\frac{\sqrt{2}}{2} \right)}}{2}$$
sqrt(2)*sqrt(pi)*erfi(sqrt(2)/2)/2
The graph
Use the examples entering the upper and lower limits of integration.