plumiIntegration by substitution: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 8.6 Integration by substitution, 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 by substitution, as a list
- June 2024, Paper 3, Q5 (6 marks): In this question you must show detailed reasoning. Using the substitution u x + , find the value of the positive integer c such that 1 = x 1 c 4 +y d x ln 3 . [
- June 2022, Paper 1, Q11 (6 marks): k = 2 11 Given that k is a positive constant, show that d x is inversely proportional to k. [6] 2 ( 2 x k ) + k
- November 2021, Paper 2, Q16 (8 marks): In this question you must show detailed reasoning. x y Find d x . [8] x 1 +
- November 2020, Paper 3, Q8 (16 marks): 8 (a) The curve y is shown in Fig. 8. ^ h = 2 2 x 1 + y x O Fig. 8 2 2 d y 20 x 4 - (i) Show that . [5] = 2 2 4 d x ( 1 x ) + (ii) In this question you must sho
- June 2019, Paper 3, Q11 (6 marks): c x 11 By using the substitution dd [6] u 1 x , find d x . = + 1 x + e 8 Answer all the questions.
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