How to find constant equal to what in integration?
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$$x(t)=\int \dot{x}(t)\mathrm dt=vt+c$$
That's what I did. But, book says
$$x(t)=\int \dot{x}(t)\mathrm dt=x_0+v_0 t+ \frac{F_0}{2m}t^2$$
Seems like, $x_0 + \dfrac{a_0}{2}t^2$ is constant. How to find constant is equal to what?
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