A-LevelMathematicsIntegration9709/12 · May/June 2025 · Q66 Marks
The diagram shows the curve with equation y = 9/(5x+4)^1/2 and the line y = 6-3x. The line and the curve intersect at the point P which has y-coordinate 3. Find the area of the shaded region.
- The diagram shows the curve with equation y = 9/(5x+4)^1/2 and the line y = 6-3x. The line and the curve intersect at the point P which has y-coordinate 3. Find the area of the shaded region.[6]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.
- [1] B1 6-3x=3 => x-coordinate of point of intersection = 1
- [1] B1 For finding correct form of integral k(5x+4)^(1/2) from y=9(5x+4)^(-1/2).
- [1] B1 For correct full integral (18/5)(5x+4)^(1/2).
- [1] M1 Area=18/5*3 - 18/5*2 or 18/5*3 - 18/5*2
- [1] M1 Line crosses x-axis at x=2, so triangle area = 1/2 x 3 x 1
- [1] A1 Total area 51/10
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →