January 20th, 2011, 09:13 AM  #1 
Member Joined: Oct 2010 Posts: 37 Thanks: 0  integrability
Show that there does not exist any function such that ,where (i). (ii). We know that boxfunctions are wellintegrable. How can the above hold then? 
January 20th, 2011, 03:41 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,276 Thanks: 516  Re: integrability
If I understand the problem correctly, the requirement is equality at every point. At the discontinuity points of f(x), ?'(x) will not be defined.

January 21st, 2011, 04:29 AM  #3  
Member Joined: Oct 2010 Posts: 37 Thanks: 0  Re: integrability Quote:
 
January 21st, 2011, 05:11 AM  #4 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: integrability but does the limit exist?

January 22nd, 2011, 06:08 AM  #5 
Member Joined: Oct 2010 Posts: 37 Thanks: 0  Re: integrability
No. In this way the problem is solved though. But it does not deal with integrability whatsoever. Whatever. Thanks. 
January 22nd, 2011, 03:09 PM  #6  
Global Moderator Joined: May 2007 Posts: 6,276 Thanks: 516  Re: integrability Quote:
 

Tags 
integrability 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
integrability of inverse function  islam  Calculus  15  January 26th, 2011 02:21 PM 
Showing Riemann Integrability  Crazycat78  Real Analysis  9  May 2nd, 2010 06:19 AM 
help prove integrability  kelvinng  Real Analysis  1  January 31st, 2009 07:21 PM 
help on proving integrability  kelvinng  Calculus  2  January 28th, 2009 01:30 PM 
help..prove integrability  kelvinng  Real Analysis  1  January 20th, 2009 06:37 PM 