Can someone show me how

I understand that you repeatedly integrate by parts, but how does everything reduce to ?

Thanks

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- June 25th 2013, 10:10 PMdownthesun01Integration question
Can someone show me how

I understand that you repeatedly integrate by parts, but how does everything reduce to ?

Thanks - June 26th 2013, 01:05 AMJJacquelinRe: Integration question
- June 26th 2013, 01:55 AMProve ItRe: Integration question
- June 26th 2013, 01:59 AMdownthesun01Re: Integration question
Here's what I have after integrating by parts 10 times:

- June 26th 2013, 02:05 AMdownthesun01Re: Integration question
Thank you. Where does the gamma come from?

Nevermind, I looked up the gamma function. - June 26th 2013, 02:10 AMProve ItRe: Integration question
It's the Gamma Function, which is the continuous function you get if you interpolate the Factorial function so it is defined over most numbers instead of just the positive integers.

- June 26th 2013, 03:45 AMJJacquelinRe: Integration question
You are on the good track !

But in the result of each intagration by part , there is a remaining integral (to be used at the next step). Where is the last remaining integral ?

You did it 10 times. OK. But what happend before, if k=4 for example ?

And do not forget that the limits of the integral are t=0 and t=infinity. Where are they applied into your result ?