A researcher determines that the rate of expansion of a specialized polymer, V V\,V mm3^33, with respect to time t t\,t seconds, is modeled by the equation:
dVdt=30t5+16t3−14t8,t>0\frac{dV}{dt} = 30t^5 + 16t^3 - \frac{14}{t^8}, \quad t > 0dtdV=30t5+16t3−t814,t>0
Find a general expression for V V\,V in terms of ttt, giving your answer 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.