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 > 0 dtdV=30t5+16t3−t814,t>0Find a general expression for V V\,V in terms of ttt, giving your answer in its simplest form.
133 exam-style questions on CCEA A Level Maths 1.7 Integration, covering 1.7.1 Integration, 1.7.2 Integration, and 1.7.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.