A particle moves along a straight line such that its velocity v v\,v at time ttt (where t>0t > 0t>0) is given by the model:
v(t)=24t7−6t2−10t6 v(t) = 24t^7 - 6t^2 - \frac{10}{t^6} v(t)=24t7−6t2−t610Determine the general expression for the displacement, s(t)s(t)s(t), of the particle, giving your answer in simplest form.