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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^2/(1+x^3)
- Integral of √(1+sinx)
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Integral of x/(x+2)
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Integral of x/(1-x^2)^1/2
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Identical expressions
- ((exp(x)^x)^ two)
- (( exponent of (x) to the power of x) squared )
- (( exponent of (x) to the power of x) to the power of two)
- ((exp(x)x)2)
- expxx2
- ((exp(x)^x)²)
- ((exp(x) to the power of x) to the power of 2)
- expx^x^2
- ((exp(x)^x)^2)dx
Integral of ((exp(x)^x)^2) dx
The solution
You have entered
[src]
1 / | | 2 | / x\ | |/ x\ | | \\e / / dx | / 0
$$\int\limits_{0}^{1} \left(\left(e^{x}\right)^{x}\right)^{2}\, dx$$
Integral((exp(x)^x)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | / | 2 | | / x\ | 2*x | |/ x\ | | / x\ | \\e / / dx = C + | \e / dx | | / /
$$\int \left(\left(e^{x}\right)^{x}\right)^{2}\, dx = C + \int \left(e^{x}\right)^{2 x}\, dx$$
The answer
[src]
___ ____ / ___\
\/ 2 *\/ pi *erfi\\/ 2 /
------------------------
4
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\sqrt{2} \right)}}{4}$$
=
=
___ ____ / ___\
\/ 2 *\/ pi *erfi\\/ 2 /
------------------------
4
$$\frac{\sqrt{2} \sqrt{\pi} \operatorname{erfi}{\left(\sqrt{2} \right)}}{4}$$
Use the examples entering the upper and lower limits of integration.