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1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

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Question 24

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]

Markscheme

1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only) Questions

A Level
Maths
1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

31 exam-style questions on OCR (MEI) A Level Maths 1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

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1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

Question 24

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]

Markscheme

1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only) Questions

A Level
Maths
1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

31 exam-style questions on OCR (MEI) A Level Maths 1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.