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)=24t7−6t2−10t6v(t) = 24t^7 - 6t^2 - \frac{10}{t^6}v(t)=24t7−6t2−t610
Determine the general expression for the displacement, s(t)s(t)s(t), of the particle, giving your answer in simplest form.
Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.