Skip to content
CalcGospel 國際數學圖譜
返回

CIE 9709 2025 June Paper 12 Q6

A Level / CIE / P1

CIE 9709 2025 June Paper 12 Paper · Question 6

题目

Problem

The diagram shows the curve with equation y=9(5x+4)12y = \frac{9}{(5x + 4)^{\frac{1}{2}}} and the line y=63xy = 6 - 3x. The line and the curve intersect at the point PP which has yy-coordinate 3.

Find the area of the shaded region.

[6]
题目中文翻译

图中显示了方程为 y=9(5x+4)12y = \frac{9}{(5x + 4)^{\frac{1}{2}}} 的曲线和直线 y=63xy = 6 - 3x。直线与曲线交于点 PP,点 PPyy 坐标为 3。

求阴影区域的面积。

[6]

解答