# Conceptual Questions on Line Integrals

1. Dec 4, 2011

### waters

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?

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