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Line integral

  1. Oct 28, 2011 #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.
     
  2. jcsd
  3. Oct 28, 2011 #2

    mathman

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    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.
     
  4. Oct 28, 2011 #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.
     
  5. Oct 28, 2011 #4
    thanks alot you have solved my query.
     
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