(a) Write the definition of the line integral of a scalar

Chapter 16, Problem 16.549

(choose chapter or problem)

(a) Write the definition of the line integral of a scalar function along a smooth curve with respect to arc length. (b) How do you evaluate such a line integral? (c) Write expressions for the mass and center of mass of a thin wire shaped like a curve if the wire has linear density function . (d) Write the definitions of the line integrals along of a scalar function with respect to , , and . (e) How do you evaluate these line integrals?

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