A laboratory technician models the rate of change of the volume, VVV, of a liquid in a cooling system. The model used is
dVdt=5t2+46t3,t>0\frac{dV}{dt} = \frac{5t^2 + 4}{6t^3}, \quad t > 0dtdV=6t35t2+4,t>0
where ttt is the time in hours. Determine the general expression for VVV in terms of ttt, 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.