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

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

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Question 25

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

P(t)=(3sin⁡2t+5cos⁡2t)2 P(t) = (3\sin 2t + 5\cos 2t)^2 P(t)=(3sin2t+5cos2t)2

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

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

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

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  3. /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.

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