Repeated-root cubic region

Repeated-root cubic region

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

The diagram shows part of the curve \(y=(x-1)^2(4-x)\).

Find the area of the shaded region bounded by the curve and the \(x\)-axis between \(A\) and \(B\).[4]

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Answer:\(\dfrac{27}{4}\text{ units}^2\)

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