题目

Problem

The diagram shows the curves with equations $y = x^3 - 3x + 3$ and $y = 2x^3 - 4x^2 + 3$ .

(a) Find the $x$ -coordinates of the points of intersection of the curves.

[3]

(b) Find the area of the shaded region.

[4]

题目中文翻译

图中显示方程为 $y = x^3 - 3x + 3$ 和 $y = 2x^3 - 4x^2 + 3$ 的曲线。

(a) 求两条曲线交点的 $x$ 坐标。

(b) 求阴影区域的面积。

CIE 9709 2024 November Paper 13 Q9