anonymous
  • anonymous
Factorial integral
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
what variable are you integrating with respect to?
anonymous
  • anonymous
sry \[\int t ! dt\]
anonymous
  • anonymous
ok. then, \(t!\) is not a continuous function. it is a discrete function. unless you re-dinfe it as a gamma function

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anonymous
  • anonymous
gamma???
anonymous
  • anonymous
for a continuous variable t, \(t!=\Gamma(t+1)\)
anonymous
  • anonymous
i just started wih this gamma business not looking nice
anonymous
  • anonymous
oh thanks
anonymous
  • anonymous
if that is the definition you want to use, then \[I=\int\Gamma(t+1)dt\]
anonymous
  • anonymous
then\[I=\int\left[\int_0^\infty x^{t}e^{-x}dx\right]dt\]

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