# Answer to Question #1987 in Calculus for Denise

Question #1987

The linear density of a rod of length 9 m is given by ρ(x) = 1 / √x, in grams per centimeter, where x is measured in centimeters from one end of the rod. Find the mass of the rod.

__________ g

__________ g

Expert's answer

9m = 900 cm

M = int_0^900 ( ρ(x) dx) = int_0^900 ( 1 / √x& dx) = 2√900 = 60 g.

M = int_0^900 ( ρ(x) dx) = int_0^900 ( 1 / √x& dx) = 2√900 = 60 g.

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