plumiIntegrating exponentials, 1/x and trig functions: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 8.3 Integrating exponentials, 1/x and trig functions, 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 3 questions on Integrating exponentials, 1/x and trig functions, as a list
- Summer 2024, Unit 3, Q9 (9 marks): y x x 1 9. The diagram below shows a sketch of the curve C1 with equation and a y cos2 x sketch of the curve C2 with equation . The curves intersect
- Summer 2023, Unit 3, Q8 (7 marks): 4 x 12 x 9 The function f is defined by 0 8 f x , where x 1 1. 2 2 x x – 3 5 ( ) can be written as 2 + Show that f x a) x −1 . [3] 7∫ ( ) b) Hence fi
- Summer 2019, Unit 3, Q14 (11 marks): ∫ Find (e2x + 6sin3x) dx. 1 4 a) [2] ∫ Find 7(x2 + sinx)6(2x + cosx) dx. b) [1] ∫ 1 c) Find . lnxdx [4] x2 Use the substitution u = 2cosx + 1 to evaluate d) π 3
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