The total mass of a variable density rod is given bywhere m = mass, ρ(x) =density, Ac(x) =...

The total mass of a variable density rod is given by

where m = mass, ρ(x) =density, Ac(x) = cross-sectional area, x = distance along the rod and L = the total length of the rod. The following data has been measured for a 10-m length rod. Determine the mass in grams to the best possible accuracy.

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