The rate of vertical ascent, dhdt\frac{dh}{dt}dtdh in metres per minute, of a weather balloon is modelled by the expression:
dhdt=(3t−2)(4t+3)(3t+2) \frac{dh}{dt} = (3t - 2)(4t + 3)(3t + 2) dtdh=(3t−2)(4t+3)(3t+2)where ttt is the time in minutes. Find the general expression for the height hhh of the balloon at time ttt, writing your answer in simplest form.
160 exam-style questions on WJEC A Level Maths 1.8 Integration, covering 1.8.1 Integration, 1.8.2 Integration, and 1.8.3 Integration. Each one has a worked solution and a mark scheme showing where the marks go.