## anonymous 3 years ago Factorial integral

1. anonymous

what variable are you integrating with respect to?

2. anonymous

sry $\int t ! dt$

3. anonymous

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

4. anonymous

gamma???

5. anonymous

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

6. anonymous

i just started wih this gamma business not looking nice

7. anonymous

oh thanks

8. anonymous

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

9. anonymous

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