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  1. Path: sparky!uunet!usna!math2!wdw
  2. From: wdw@math2.sma.usna.navy.MIL (Wm. Douglas Withers -- math  FACULTY <wdw@sma.usna.navy.mil>)
  3. Newsgroups: comp.compression
  4. Subject: Re: Math Question
  5. Message-ID: <2391@usna.NAVY.MIL>
  6. Date: 16 Nov 92 13:44:02 GMT
  7. References: <24005@hacgate.SCG.HAC.COM>
  8. Sender: news@usna.NAVY.MIL
  9. Organization: U.S. Naval Academy
  10. Lines: 30
  11.  
  12. In article <24005@hacgate.SCG.HAC.COM> abirenbo@rigel.cel.scg.hac.com (Aaron Birenboim) writes:
  13. >
  14. >  I seem to remember some terribly nasty formulas for handling the
  15. >differentiation before evaluating any integral.
  16. >
  17. >  I think it involved the bounds, derivitives of the bounds, the integrand
  18. >and the derivitave of the integrand.
  19. >
  20. >  any advise, help, or refrences are welcome.
  21.  
  22. I think you want the following:
  23.  
  24.        /            / g(q)        \
  25.       |            |               |
  26. d/dq  |   Integral |    f(x,q) dx  |  =
  27.       |            |               |
  28.        \          / h(q)          /
  29.  
  30.  
  31.                                               / g(q)
  32.                                              |
  33.      f( g(q) ,q) dg/dq - f( h(q) ,q) dh/dq + |   (df/dq)(x,q) dx
  34.                                              |
  35.                                             / h(q)
  36.  
  37. -- 
  38. Els Withers                   email: wdw@math2.sma.usna.navy.mil
  39. Department of Mathematics     phone: (410)267-3192 / fax: (410)267-4883
  40. United States Naval Academy
  41. Annapolis, MD  21402-5002     Senri no tabi mo ippo yori...
  42.