The rate of change of the volume of water, VVV, being pumped into a reservoir is modeled by the equation
dVdt=7t24−52t4+23\frac{dV}{dt} = \frac{7t^2}{4} - \frac{5}{2t^4} + \frac{2}{3}dtdV=47t2−2t45+32
where VVV is measured in cubic metres and ttt is the time in hours since pumping began. Determine the general expression for VVV in terms of ttt, 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.