These were posted on another forum. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12)
Last edited by Random Variable; Feb 25th 2011 at 08:11 AM.
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Originally Posted by Random Variable These were posted on another forum. Surely an MHF Expert knows to only post 2 questions per thread...
Thanks for posting. Could you number them please, if it isn't much of a trouble? Originally Posted by Prove It Surely an MHF Expert knows to only post 2 questions per thread... This section is an exception!
. Make the substitution and the integral becomes .
Surely an MHF Expert knows to only post 2 questions per thread... It's just for fun.
Let and the integral becomes . Now let and the integral becomes . This can probably be simplified more using logarithmic equivalents, but I think this is sufficient...
3) let so
4) gives
6) let This gives
let let
5) Integrate by parts with and This gives
An altenative solution for #5:
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