3.6.1 Integration (A-level only)

In signal processing, the instantaneous power $P\,$ of a specific modulated wave relative to its phase $\phi\,$ is modeled by the function:

P(\phi) = (5\cos \phi - 2\sin \phi)^2

Determine the indefinite integral of the power function with respect to the phase, giving your answer in its simplest form:

\int P(\phi) \, d\phi

[6]

In signal processing, the instantaneous power $P\,$ of a specific modulated wave relative to its phase $\phi\,$ is modeled by the function:

P(\phi) = (5\cos \phi - 2\sin \phi)^2

Determine the indefinite integral of the power function with respect to the phase, giving your answer in its simplest form:

\int P(\phi) \, d\phi

[6]

3.6.1 Integration (A-level only) Questions