The velocity of some particle (away from its source) is given by   $\displaystyle \frac{{{d}{s}}}{{{\left.{d}{t}\right.}}}={6}{t}+{2}{\sin{{\left({t}\right)}}}$  metres, where $\displaystyle {s}$ is the displacement (in metres from the source).

(a)   Find the displacement function $\displaystyle {s}$, if the initial position is 3 metres from the source.

$\displaystyle {s}{\left({t}\right)}=$   metres

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