The rate of change of the altitude of a meteorological probe, HHH, in meters per second with respect to time ttt, is modeled by the function
v(t)=6t2−94t3,t>0 v(t) = \frac{6t^2 - 9}{4\sqrt[3]{t}}, \quad t > 0 v(t)=43t6t2−9,t>0Determine the general expression for the altitude H(t)H(t)H(t) of the probe, giving your answer in its simplest form.
80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.