plumiImproper integrals: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 5.2 Improper integrals, 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 Improper integrals, as a list
- June 2023, Pure Core 1, Q9 (14 marks): In this question you must show detailed reasoning. (a) Use de Moivre’s theorem to determine constants A, B and C such that 4 sin A cos 4 B cos 2 C . [5] + i + i
- June 2022, Pure Core 1, Q7 (10 marks): x 18 A B Cx D + + 7 (a) Determine the values of A, B, C and D such that . [4] / + + 2 2 2 2 x ( x 9 ) x x x 9 + + (b) In this question you must show detailed re
- November 2020, Pure Core 1, Q12 (6 marks): ^ h < 4 3 r 12 Show that d x ln a b where a, b and c are integers to be determined. [6] = + + c 4 1 x - 0
- June 2019, Pure Core 2, Q3 (5 marks): In this question you must show detailed reasoning. 3 y [5] Show that . 3 x x ( 1 ) - d 1 - = 2 5
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