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A non-uniform beam extends from x = 0 m to x = 6.1 m. The linear mass density of the beam, as a function of x, is given by

λ(x) = 462 x⁵ (kg/m).

Calculate the x coordinate of the center of mass of the beam, in m.

(Please answer to the fourth decimal place - i.e 14.3225)

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