plumiIntegrating exponentials, 1/x and trig functions: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on H.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 6 questions on Integrating exponentials, 1/x and trig functions, as a list
- June 2023, Paper 1, Q14 (11 marks): (a) (i) Given that y = 2x write down dy dx [1 mark] 14 (a) (ii) Hence find ( 2x dx [2 marks] 14 (b) The area, A, bounded by the curve with equation y = 2x , the
- November 2021, Paper 1, Q10 (8 marks): (a) Given that y = tanx use the quotient rule to show that dy dx = sec2 x [3 marks] 10 (b) The region enclosed by the curve y = tan2 x and the horizontal line,
- November 2020, Paper 1, Q6 (4 marks): Four students, Tom, Josh, Floella and Georgia are attempting to complete the indefinite integral ( 1 x dx for x > 0 Each of the students’ solutions is shown bel
- November 2020, Paper 1, Q15 (10 marks): The region enclosed between the curves y = ex, y = 6 × e x 2 and the line x = 0 is shown shaded in the diagram below. y y = e x x O y = 6 – e x 2 Show that the
- June 2019, Paper 1, Q14 (10 marks): The graph of y = 2x3 x2 + 1 is shown for 0 ≤ x ≤ 4 4 x 0 0 2 4 6 8 y 2 A Caroline is attempting to approximate the shaded area, A, under the curve using the tra
- June 2019, Paper 2, Q16 (16 marks): An elite athlete runs in a straight line to complete a 100-metre race. During the race, the athlete’s velocity, v m s−1, may be modelled by v = 11:71 − 11:68e−0
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