9709 · topic questions
Integration
12 past-paper questions on Integration
The diagram shows part of the curve with equation y = 1/(5x-4)³ and the lines x = 2.4 and y = 1. The curve intersects the line y…
Practise the full question →The diagram shows the curve with equation y = 5x² – 20x and the line with equation y = x-16. The x-coordinates of the points of…
Practise the full question →The diagram shows part of the curve with equation y=-2x² +8x+11 and the line with equation y = 8x+9. Find the area of the shaded…
Practise the full question →Show that the x-coordinate of B is In2 and hence find the area of the shaded region.
Practise the full question →(ii) Find the distance travelled by the particle in the first 16s.
Practise the full question →(b) Find the area of the shaded region. Give your answer in the form, where p and q are integers. [4]
Practise the full question →Find the area of the region bounded by the curve and the lines x = 0, x = 7/2 and y = 0.
Practise the full question →Given that ∫(from 1 to a) ((4x-3)⁻² + 2) dx = 12, find the value of the constant a.
Practise the full question →(b) Find the equation of the curve.
Practise the full question →A curve passes through the point (3/5, -3) and is such that dy/dx = -20/(5x-3)². Find the equation of the curve.
Practise the full question →Find the area of the shaded region.
Practise the full question →Given that the curve passes through the point (4, 11), find the equation of the curve.
Practise the full question →
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Integration (9709) past-paper questions — marked instantly
These are real Cambridge Mathematics past-paper questions on Integration. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.
Frequently asked questions
- How many Integration questions are there for 9709?
- This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Integration. Each links straight to instant marking against the official 9709 scheme.
- How are Integration answers marked?
- Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
- Where can I learn Integration first?
- Start with the free Mathematics lesson on Integration, then come back and drill past-paper questions under timed conditions.