Question

Factorial integral

Answer 1

what variable are you integrating with respect to?

Answer 2

sry
\[\int t ! dt\]

Answer 3

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

Answer 4

gamma???

Answer 5

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

Answer 6

i just started wih this gamma business not looking nice

Answer 7

oh thanks

Answer 8

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

Answer 9

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