1.8.2 Integrating x^n

The rate at which energy $E$ (in microjoules) is consumed by a prototype sensor is modeled by the equation

\frac{dE}{dt} = \frac{14t^8 - 9}{6t^4}, \quad t > 0.5

where $t\,$ is the time in seconds.

Find a general expression for $E\,$ in terms of $t$ , giving your answer in simplest form.

[4]

The rate at which energy $E$ (in microjoules) is consumed by a prototype sensor is modeled by the equation

\frac{dE}{dt} = \frac{14t^8 - 9}{6t^4}, \quad t > 0.5

where $t\,$ is the time in seconds.

Find a general expression for $E\,$ in terms of $t$ , giving your answer in simplest form.

[4]

1.8.2 Integrating x^n Questions