My Math Forum Calculating the line integral of a curve given line segments

 Calculus Calculus Math Forum

 October 23rd, 2016, 11:39 AM #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=(xB-xA)dt. y=yA+t(yB−yA) dy=(yB-yA)dt z=zA+t(zB−zA) dz=(zB-zA)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 07:25 AM.

 Tags calculating, curve, integral, line, segments

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post triplekite Calculus 3 December 12th, 2012 02:24 PM Jmlee19 Calculus 5 December 6th, 2012 02:23 PM master555 Applied Math 0 December 2nd, 2011 05:56 PM andoxx Algebra 7 February 8th, 2011 08:09 PM Cheesy74 Algebra 4 November 17th, 2009 05:23 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top