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Conceptual Questions on Line Integrals

  1. Dec 4, 2011 #1
    So we have 4 things:
    -Scalar Line Integral
    -integral of f(c(t))||c'(t)||dt from b to a
    -length of C: integral on curve C of ||c'(t)||dt
    -Vector Line Integral
    -integral of F(c(t))●c'(t)dt from b to a
    -Scalar Surface Integral
    -surface integral: double integral of f(Φ(u,v))||n(u,v)||dudv on domain D
    -surface area: double integral of ||n(u,v)||dudv on domain D
    -Vector Surface Integral
    -F(Φ(u,v))●n(u,v)dudv

    My questions are:
    -What are the applications of length of the scalar line integral and surface area of the the scalar surface integral?
    -Can only the vector surface integral calculate flux?
    -Can all of these integrals calculate mass?
    -How do you know which integral to apply?
     
  2. jcsd
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