plumiIntegration with partial fractions: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on H.8 Integration with partial fractions, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 4 questions on Integration with partial fractions, as a list
- June 2025, Paper 3, Q8 (7 marks): (a) The expression x 2x2 + 3x + 1 can be written in the form A x + 1 + B 2x + 1 Find the value of A and the value of B [3 marks] 8 (b) Use your answer to part (
- June 2023, Paper 1, Q16 (14 marks): (a) Given that 1 16 − 9x2 × A 4 − 3x + B 4 + 3x find the values of A and B [3 marks] 16 (b) An empty container, in the shape of a cuboid, has length 1.6 metres,
- June 2022, Paper 2, Q10 (15 marks): A gardener has a greenhouse containing 900 tomato plants. The gardener notices that some of the tomato plants are damaged by insects. Initially there are 25 dam
- June 2019, Paper 3, Q7 (8 marks): (a) Express 4x + 3 (x − 1)2 in the form A x − 1 + B (x − 1)2 [3 marks] 7 (b) Show that ( 4 3 4x + 3 (x − 1)2 dx = p + ln q where p and q are rational numbers. [
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