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Usenet Newsgroups : rec.puzzles Hall of Fame


The rec.puzzles Hall of Fame is a compilation of over 500 of the most popular puzzles that have been posted and discussed in the rec.puzzles newsgroup. In most cases a detailed solution has been provided.

Many of these puzzles also appear in Braingle's own collection.

   
rec.puzzles
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FAQ
Hall of Fame
alt.brain.teasers
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FAQ
Categories : analysis : integral.p

If f is integrable on (0,inf) and differentiable at 0, and a > 0, and:

      inf           f(x)
   Int        ----------------  dx is defined
       0             x

show:

      inf     ( f(x) - f(ax) )  
   Int        ----------------  dx   = f(0) ln(a)
       0             x


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