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

Question

(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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