Sine arch above a horizontal chord

Sine arch above a horizontal chord

Secondary 4
4 marks
Original parallel to supplied A Math Applications of Integration references

The points \(P(0,\ 2)\) and \(Q(\pi,\ 2)\) lie on the curve \(y=2+2\sin x\).

Find the exact area enclosed by the curve and the chord \(PQ\).[4]

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Answer:\(4\text{ units}^2\)

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