
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 23rd, 2016, 12:39 PM  #1 
Newbie Joined: Oct 2016 From: San Fernando Valley Posts: 5 Thanks: 3 Math Focus: Writing  Calculating the line integral of a curve given line segments
I have the curve and I wish to integrate the curve: (x^2 dx + y^2 dy + z^2 dz). Notation wise: A "C" as in to displace the bottom limit of an integral (I will attach an image so that it is easier to visualise). Image: Maths  Album on Imgur And the aforementioned curve consists of the line segments from (zero,one,zero) to (one,zero,one) and then from (one,zero,one) to (two,one,three). I anticipate that there will be a kink/sharp twist in said curve. With the boldened information being the most relevant  how would I solve this integral? So far, I have got this: x=xA+t(xB−xA) dx=(xBxA)dt. y=yA+t(yB−yA) dy=(yByA)dt z=zA+t(zB−zA) dz=(zBzA)dt. so (ds)2=(dx)2+(dy)2+(dz)2(ds)2=(dx)2+(dy)2+(dz)2 ds=AB→dt ds=AB→dt [Although I express doubt and skepticism whether this is right.] Thank you for any help/assistance given. Note: The image probably surmises the gist of my question a lot better. Nomad609 Last edited by skipjack; October 24th, 2016 at 08:25 AM. 

Tags 
calculating, curve, integral, line, segments 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
What is a valid piecewise smooth curve? (Line integral)  triplekite  Calculus  3  December 12th, 2012 03:24 PM 
Making a Circle out of line segments  Jmlee19  Calculus  5  December 6th, 2012 03:23 PM 
Geometry piecewise line segments  master555  Applied Math  0  December 2nd, 2011 06:56 PM 
Line segmentsdistance  andoxx  Algebra  7  February 8th, 2011 09:09 PM 
Overlap of line segments  Cheesy74  Algebra  4  November 17th, 2009 06:23 AM 