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Integration by parts past paper questions

Pure Maths 3 9709 · Integration. Use integration by parts, e.g. x sin 2x, x^2 e^-x, ln x, x tan^-1 x.

In Cambridge A Level Pure Maths 3 9709, Integration by parts came up in 27 of the 42 papers on Paperstreak, for about 5 marks a paper when it does. It last came up in October/November 2025.

Often set with Product and quotient rules, Iteration, Locating roots.

27 questions, newest first

1. 9709/31/O/N/25 Question 1 · 4 marks
2. 9709/32/O/N/25 Question 4 · 6 marks
3. 9709/33/O/N/25 Question 6 · 6 marks
4. 9709/31/M/J/25 Question 9 part (a) · 5 marks
5. 9709/32/M/J/25 Question 10 part (b) · 6 marks
6. 9709/32/F/M/25 Question 11 · 6 marks
7. 9709/31/O/N/24 Question 2 · 5 marks
8. 9709/31/M/J/24 Question 10 part (b) · 7 marks
9. 9709/32/M/J/24 Question 6 part (b) · 5 marks
10. 9709/33/O/N/23 Question 10 part (b) · 5 marks
11. 9709/31/M/J/23 Question 9 part (a) · 5 marks
12. 9709/33/M/J/23 Question 7 part (b) · 4 marks
13. 9709/32/F/M/23 Question 8 part (b) · 5 marks
14. 9709/31/O/N/22 Question 9 part (b) · 5 marks
15. 9709/33/O/N/22 Question 3 · 5 marks
16. 9709/33/M/J/22 Question 10 part (a) · 5 marks
17. 9709/31/O/N/21 Question 8 part (a) · 5 marks
18. 9709/33/O/N/21 Question 4 · 5 marks
19. 9709/31/M/J/21 Question 9 part (b) · 5 marks
20. 9709/32/M/J/21 Question 4 · 5 marks
21. 9709/33/M/J/21 Question 8 part (b) · 6 marks
22. 9709/31/O/N/20 Question 10 part (b) · 5 marks
23. 9709/32/O/N/20 Question 10 part (c) · 6 marks
24. 9709/33/O/N/20 Question 10 part (b) · 5 marks
25. 9709/32/M/J/20 Question 3 · 5 marks
26. 9709/33/M/J/20 Question 2 · 5 marks
27. 9709/32/F/M/20 Question 4 · 7 marks

More in Integration: Standard integrals, Integration using trigonometric identities, Integration with partial fractions, Integrals of the form kf'(x)/f(x), Integration by substitution.

Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.