plumiIntegrating powers of x: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 8.1 Integrating powers of x, 2010–2025, 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 11 questions on Integrating powers of x, as a list
- June 2025, Pure 2, Q2 (4 marks): Find x x x 4 2 1 6 3 d giving the answer in simplest form. (4)
- June 2025, AS Pure, Q5 (6 marks): f (x) = x x x 5 2 12 4 − (a) Write f (x) in the form ax p + bx q where a, b, p and q are simplified constants. (3) (b) Hence find ∫f (x) dx giving your answer i
- June 2024, AS Pure, Q1 (4 marks): Find ∫ 2 3 2 x x x − d giving your answer in simplest form. (4)
- June 2023, Pure 1, Q1 (4 marks): Find x x x 1 2 2 5 3 ( ) d writing each term in simplest form. (4)
- June 2023, Pure 2, Q5 (5 marks): The curve C has equation y = f (x) The curve • passes through the point P(3, –10) • has a turning point at P Given that d d y x x x x k 2 9 5 3 2 where k is a c
- June 2023, AS Pure, Q16 (6 marks): A curve has equation y x x = f ( ), 0 Given that • f ( ) x x a x b 4 , where a and b are constants • the curve has a stationary point at 4 3 , • the curve meet
- June 2022, Pure 2, Q8 (6 marks): In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable. y x O R Figure 3 Figure 3 shows a sket
- June 2022, AS Pure, Q1 (4 marks): Find 8 3 2 5 3x x x − + ∫ d giving your answer in simplest form. (4)
- November 2021, AS Pure, Q3 (4 marks): Find 3 4 2 4 3 x x x − ∫ d writing your answer in simplest form. (4)
- November 2020, Pure 2, Q8 (6 marks): A curve C has equation y = f (x) Given that ● f ʹ (x) = 6x2 + ax − 23 where a is a constant ● the y intercept of C is −12 ● (x + 4) is a factor of f (x) find, i
- June 2019, AS Pure, Q3 (6 marks): (a) Given that k is a constant, find 4 3 x kx + ⎛ ⎝⎜ ⎞ ⎠⎟ ∫ dx simplifying your answer. (3) (b) Hence find the value of k such that 4 3 0 5 2 x kx + ⎛ ⎝⎜ ⎞ ⎠⎟ ∫
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