plumiIntegrating exponentials, 1/x and trig functions: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.08.3 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.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 8 questions on Integrating exponentials, 1/x and trig functions, as a list
- June 2025, Paper 1, Q10 (12 marks): ex e x 2 1 10 The graph of y can be transformed to the graph of y - by a stretch parallel to the = = x-axis followed by a translation. (a) (i) State the scale f
- June 2023, Paper 2, Q3 (3 marks): In this question you must show detailed reasoning. 1 Find the exact area of the region enclosed by the curve y + , the two axes and the = x 2 line x 2 5 . . [3]
- June 2023, Paper 3, Q5 (9 marks): A mathematics department is designing a new emblem to place on the walls outside its classrooms. The design for the emblem is shown in the diagram below. y x O
- June 2022, Paper 2, Q3 (10 marks): 3 (a) Amaya and Ben integrated ( 1 )x , with respect to x, using different methods, as follows. + 3 x ( 1 ) + y 2 1 2 1 3 Amaya: ( 1 x ) d x c x x x c + = + = +
- June 2022, Paper 3, Q6 (8 marks): In this question you must show detailed reasoning. y y 2 x 9 = + x O – 2 x y 4 e – 1 = 2 x The diagram shows the curves y 2 x + and 9 y 4 e - 1 which intersect
- November 2020, Paper 2, Q1 (9 marks): (a) Differentiate the following with respect to x. 3 7 (i) ( 2 x ) [2] + 3 (ii) x ln x [3] y (b) Find cos x x 5 d . [2] d = y (c) Find the equation of the curve
- June 2019, Paper 2, Q1 (11 marks): (a) Differentiate the following. 2 x (i) + [3] x 2 1 2 - (ii) tan x ( 3 x ) [2] 1 (b) Use the substitution u x - to integrate 1 - . [4] = x 1 x 2 - (c) Integrat
- June 2018, Paper 3, Q7 (9 marks): = ^ h is given by the differential equation 7 y x The gradient of the curve f ^ h d y 3 2 2 x 1 4 y 0 - + = d x ^ h. By solving this differential equation show
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.