A robotic arm's velocity v(t)v(t)v(t), in ms−1\text{ms}^{-1}ms−1, at time t t\,t seconds is modelled by the function
v(t)=(4t−3)(t+2)6t,t>0v(t) = \frac{(4\sqrt{t} - 3)(t + 2)}{6\sqrt{t}}, \quad t > 0v(t)=6t(4t−3)(t+2),t>0
Determine the general expression for the displacement, s(t)s(t)s(t), of the robotic arm, giving each term in its 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.