1.8.3 Integrating standard functions (A-level only)

The instantaneous power output $P (t)$ of a specific alternating current component, measured in Watts, is modeled by the function:

P(t) = (3\sin 2t + 5\cos 2t)^2

where $t$ is the time in seconds. The total energy $E (t)$ transferred by the component is given by $\int P(t) \, dt$ .

Determine the general expression for $E (t)$ in its simplest form.

[6]

The instantaneous power output $P (t)$ of a specific alternating current component, measured in Watts, is modeled by the function:

P(t) = (3\sin 2t + 5\cos 2t)^2

where $t$ is the time in seconds. The total energy $E (t)$ transferred by the component is given by $\int P(t) \, dt$ .

Determine the general expression for $E (t)$ in its simplest form.

[6]

1.8.3 Integrating standard functions (A-level only) Questions