1.8.2 Integrating x^n

The rate of change of the altitude of a meteorological probe, $H$ , in meters per second with respect to time $t$ , is modeled by the function

\frac{6t^2 - 9}{4\sqrt[3]{t}}, \quad t > 0

Determine the general expression for the altitude $H (t)$ of the probe, giving your answer in its simplest form.

[4]

The rate of change of the altitude of a meteorological probe, $H$ , in meters per second with respect to time $t$ , is modeled by the function

\frac{6t^2 - 9}{4\sqrt[3]{t}}, \quad t > 0

Determine the general expression for the altitude $H (t)$ of the probe, giving your answer in its simplest form.

[4]

1.8.2 Integrating x^n Questions