Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram displays the curves given by $y = x^3 - 3x + 3$ and $y = 2x^3 - 4x^2 + 3$.
(a)[3]

Find the $x$-coordinates of the intersection points of the curves.

(b)[4]

Find the area of the shaded region.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Setting $y=x^3-3x+3$ equal to $y=2x^3-4x^2+3$ so that a cubic equation is formed.

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