plumiIntegration with partial fractions: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 8.8 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 5 questions on Integration with partial fractions, as a list
- June 2024, Paper 2, Q16 (12 marks): In this question you must show detailed reasoning. Find the particular solution of the differential equation d = y 9 y , d x ( x 1 )( x 2 ) - + given that x 2 w
- November 2021, Paper 3, Q10 (9 marks): 10 (a) Express ( in partial fractions. [3] 4 x 1 )( x 1 ) + + (b) A curve passes through the point (0, 2) and satisfies the differential equation d y y , = d x
- November 2020, Paper 3, Q7 (9 marks): 1 7 (a) Express x - as a single fraction. [1] + A x The population of fish in a lake is modelled by the differential equation d x x ( 400 x ) - d = t 400 where
- June 2019, Paper 3, Q3 (6 marks): 3 (a) Express ( in partial fractions. [3] x 2 )( x 3 ) + + < ^ h 1 (b) Find ( d x in the form ln f ( ) x c , where c is the constant of integration and ( ) f x
- June 2018, Paper 2, Q17 (12 marks): ^ h in partial fractions. 2 (i) Express x 8 x 9 - + 17 [5] ^ ^h h 2 x 1 x 2 + - (ii) Express y in terms of x given that ^ h 2 d y y x 8 x 9 - + and y = 16 when
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