September 2nd, 2017, 03:27 PM  #11  
Senior Member Joined: Sep 2015 From: USA Posts: 2,317 Thanks: 1230  Quote:
The book should explain what is meant by the orientation of a curve. It tells you which direction you traverse the curve in. If the line integral of a curve through a field has value $I$, then the line integral of the same curve with opposite orientation through the field will have value $I$  
September 2nd, 2017, 03:40 PM  #12 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 879 Thanks: 60 Math Focus: सामान्य गणित 
I don't understand the book 
September 2nd, 2017, 04:12 PM  #13 
Senior Member Joined: Sep 2015 From: USA Posts: 2,317 Thanks: 1230 
you're moving along the curve... if you are tending towards the left overall from your point of view.. you are moving counter clockwise, if you are tending right you are moving clockwise. You know the old analog clocks? How their hands move? I know everything is digital these days but I still think people know clockwise vs. counterclockwise. If you are moving along the curve in a given orientation, and you stop and turn around, and continue moving, you are now moving in the opposite orientation. You can read about the orientation of curves and the associated right hand rule in a thousand places on the web. 
September 2nd, 2017, 10:21 PM  #14 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 879 Thanks: 60 Math Focus: सामान्य गणित  

Tags 
integration, volume 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Volume integration  MATHEMATICIAN  Calculus  13  September 1st, 2017 12:12 PM 
integration of volume  xl5899  Calculus  2  December 10th, 2015 10:09 AM 
Application of integration. (Volume)  jiasyuen  Calculus  9  March 29th, 2015 09:37 PM 
notation and volume integration  landonjones6  Calculus  1  February 21st, 2012 03:33 AM 
integration and volume?  izseekzu  Calculus  1  January 26th, 2010 07:34 PM 