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Topic: The Charlwood Fifty
Replies: 52   Last Post: Jun 24, 2013 10:24 PM

 Messages: [ Previous | Next ]
 clicliclic@freenet.de Posts: 1,245 Registered: 4/26/08
Re: The Charlwood Fifty
Posted: May 25, 2013 12:44 AM

By now a number of messages were sent to this thread which did not make
it to the Aioe.org NNTP server in Italy.

on May 23, 04:39 PM by Albert D. Rich
on May 23, 08:01 PM by Waldek Hebisch
on May 24, 10:01 AM by Andreas Dieckmann

The timestamps are those displayed on Drexel's Math Forum. As the last
message is also missing on Google Groups, it was probably posted on Math
Forum only. Hopefully communication will be restored soon!

-

This is my antiderivative for problem #45 from Charlwood's appendix:

SQRT(2)*SQRT(SEC(x)+1)*SQRT(SEC(x)-1)*COT(x)*(SQRT(SQRT(2)-1)*AT~
AN(SQRT(SQRT(2)-1)*(SQRT(SEC(x)+1)-SQRT(SEC(x)-1)-SQRT(2))/(SQRT~
(2)*SQRT(SQRT(SEC(x)+1)-SQRT(SEC(x)-1))))-SQRT(SQRT(2)+1)*ATAN(S~
QRT(SQRT(2)+1)*(SQRT(SEC(x)+1)-SQRT(SEC(x)-1)-SQRT(2))/(SQRT(2)*~
SQRT(SQRT(SEC(x)+1)-SQRT(SEC(x)-1))))+SQRT(SQRT(2)-1)*ATANH(SQRT~
(2*SQRT(2)+2)*SQRT(SQRT(SEC(x)+1)-SQRT(SEC(x)-1))/(SQRT(SEC(x)+1~
)-SQRT(SEC(x)-1)+SQRT(2)))-SQRT(SQRT(2)+1)*ATANH(SQRT(2*SQRT(2)-~
2)*SQRT(SQRT(SEC(x)+1)-SQRT(SEC(x)-1))/(SQRT(SEC(x)+1)-SQRT(SEC(~
x)-1)+SQRT(2))))

which holds on the entire complex plane.

Martin.