This one was given to me as a challenge. I was happy I could solve it!
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It's quite easy.
Hence we get as required.
Last edited by Krizalid; Aug 4th 2009 at 06:25 AM.
First, use integration by parts with , , so that , , and
Now, let : x=0 becomes , x=1 becomes , and , and , so our right-hand integral becomes .
Now, (see here).
I don't understand what you did here.
and then switch sum and integral.
Originally Posted by Krizalid and then switch sum and integral. This kind of stuff has to be justified precisely huh...
(It has been brought to my attention just a while ago lol)
you know the justification, and it's quite known and I won't do it.
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