1.11.2 Integrating standard functions

The rate of vertical ascent, $dhdt\frac{dh}{dt}$ in metres per minute, of a weather balloon is modelled by the expression:

\frac{dh}{dt} = (3t - 2)(4t + 3)(3t + 2)

where $t$ is the time in minutes. Find the general expression for the height $h$ of the balloon at time $t$ , writing your answer in simplest form.

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1.11.2 Integrating standard functions Questions

The rate of vertical ascent, $dhdt\frac{dh}{dt}$ in metres per minute, of a weather balloon is modelled by the expression:

\frac{dh}{dt} = (3t - 2)(4t + 3)(3t + 2)

where $t$ is the time in minutes. Find the general expression for the height $h$ of the balloon at time $t$ , writing your answer in simplest form.

[4]