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A metal rod extends on the \( \mathrm{x} \)-axis from \( \mathrm{x}=0 \mathrm{~m} \)
\( \mathrm{P} \) to \( \mathrm{x}=4 \mathrm{~m} \). Its linear density \( \rho \) (mass/length) is
\( \mathrm{W} \) not uniform and varies with the distance \( \mathrm{x} \) from the origin according to equation \( \rho=(1.5+2 \mathrm{x}) \mathrm{kg} / \mathrm{m} \). What is the mass of rod :-
(1) \( 16 \mathrm{~kg} \)
(2) \( 22 \mathrm{~kg} \)
(3) \( 28 \mathrm{~kg} \)
(4) \( 32 \mathrm{~kg} \)
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