Jonask
Factorial integral



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electrokid
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what variable are you integrating with respect to?

Jonask
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sry
\[\int t ! dt\]

electrokid
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ok.
then, \(t!\) is not a continuous function. it is a discrete function. unless you redinfe it as a gamma function

Jonask
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gamma???

electrokid
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for a continuous variable t,
\(t!=\Gamma(t+1)\)

Jonask
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i just started wih this gamma business not looking nice

Jonask
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oh thanks

electrokid
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if that is the definition you want to use,
then \[I=\int\Gamma(t+1)dt\]

electrokid
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then\[I=\int\left[\int_0^\infty x^{t}e^{x}dx\right]dt\]