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approximation of an integral

 
 
uvosky
 
Reply Wed 2 May, 2012 04:29 am
find an approximate formula for definite integration of (x) ^ ( - x ) , with respect to x , in between 1 to positive infinite .
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Type: Question • Score: 1 • Views: 878 • Replies: 4
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uvosky
 
  1  
Reply Thu 13 Sep, 2012 11:57 pm

∫ x^(-x) d x , approximate this integral.
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laughoutlood
 
  1  
Reply Fri 14 Sep, 2012 12:37 am
@uvosky,
1/2
uvosky
 
  1  
Reply Fri 14 Sep, 2012 12:53 am
@laughoutlood,
Hm; I know that's a trivial upper bound , am looking for a better approximation , without an infinite series of course .
laughoutlood
 
  1  
Reply Fri 14 Sep, 2012 10:16 pm
@uvosky,
i'm done , i integrated to get [x ^ (y+1)] / (y+1) and substituted -x for y from 2 to infinity

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