It should be in the sub-forum "Interesting Math Problem" but there is no such place for me to post (Rofl) It is not very hard but the answer is extremely elegant !!

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- August 26th 2009, 03:49 AMsimplependulumInteresting integral
It should be in the sub-forum "Interesting Math Problem" but there is no such place for me to post (Rofl) It is not very hard but the answer is extremely elegant !!

Show that

and - August 26th 2009, 02:13 PMNonCommAlg
- August 26th 2009, 04:24 PMluobo
- August 26th 2009, 06:32 PMNonCommAlg
let be an integer. let we have: call this

now let then and therefore integration by parts gives us:

put this in to get:

that's what i got and i think it's good enough! of course this recurrence relation will also give us a general formula for but i'm not going to do it! (Shake) - August 26th 2009, 07:10 PMsimplependulum
Thanks for your corrections (Happy) , i think i need to have a double check after i finish a problem next time . (Crying)

- August 27th 2009, 04:31 AMluobo
- August 27th 2009, 05:53 AMsimplependulum
- August 27th 2009, 12:29 PMluobo