plumiReduction formulae: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on E.7 Reduction formulae, 2019–2025, 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 2 questions on Reduction formulae, as a list
- June 2024, Paper 2, Q20 (9 marks): The integral In is defined by In = ∫0 π 4 cosn x dx (n ≥ 0) 20 (a) Show that In = ( n – 1) n In–2 + 1 n(2 n 2) (n ≥ 2) [6 marks] 20 (b) Use the result from part
- November 2021, Paper 2, Q12 (12 marks): The integral Sn is defined by Sn = (a 0 xn sinhx dx (n ≤ 0) 12 (a) Show that for n ≤ 2 Sn = n(n − 1)Sn−2 + an cosh a − nan−1 sinha [7 marks] 12 (b) Hence show t
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