The diagram shows part of the curve $y=x(x-1)(x-3)$. State the $x$-coordinates of the points whe

Question

The diagram shows part of the curve $y=x(x-1)(x-3)$. State the $x$-coordinates of the points where the curve meets the $x$-axis.[1] Find the total area of the two shaded regions.[6]

Accepted Answer

(i) $x=0,1,3$ (ii) $\dfrac{37}{12}\text{ units}^2$

Total area of two cubic lobes

Total area of two cubic lobes

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