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1.11.2 Integrating standard functions

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Question 62

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]

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1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.11.2 Integrating standard functions

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1.11.2 Integrating standard functions

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Question 62

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]

Markscheme

1.11.2 Integrating standard functions Questions

A Level
Maths
1.11.2 Integrating standard functions

139 exam-style questions on AQA A Level Maths 1.11.2 Integrating standard functions. Each one has a worked solution and a mark scheme showing where the marks go.