Line integral

  • #1
Hi experts
what is line integral - for example if I can draw graph of parabola and i can calculate the area under the graph. But how can i measure the length of parabolic path.
 

Answers and Replies

  • #2
mathman
Science Advisor
7,904
461
Let s be arc length. Then the differential of arc length is given by:

ds=√(dx2+dy2)=√(1+(dy/dx)2)dx.

To get the arc length between 2 values of x, integrate ds between those values.
 
  • #3
192
3
Two entirely different concepts
A line integral is more complex idea than the area under a curve in 2 dimensions.
It is done in 3 dimensions [or more]
The arc length is an application of integration in 2 D and the formula was given to yoou in the previous post.
 
  • #4
thanks alot you have solved my query.
 

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