Integration by substitution past paper questions

Pure Maths 3 9709 · Integration. Use a given substitution to evaluate a definite or indefinite integral.

In Cambridge A Level Pure Maths 3 9709, Integration by substitution came up in 15 of the 42 papers on Paperstreak, for about 6 marks a paper when it does. It last came up in October/November 2025.

Often set with Product and quotient rules.

15 questions, newest first

9709/33/O/N/25 Question 11 part (b) · 6 marks
9709/32/M/J/25 Question 11 part (b) · 5 marks
9709/32/O/N/24 Question 11 part (b) · 9 marks
9709/33/O/N/24 Question 11 part (b) · 6 marks
9709/31/M/J/24 Question 8 · 7 marks
9709/31/O/N/23 Question 9 part (b) · 5 marks
9709/32/M/J/23 Question 10 part (b) · 5 marks
9709/33/M/J/23 Question 7 part (a) · 4 marks
9709/32/O/N/22 Question 8 part (b) · 7 marks
9709/31/M/J/22 Question 6 part (a) · 4 marks
9709/32/F/M/22 Question 11 part (b) · 5 marks
9709/31/O/N/21 Question 4 · 6 marks
9709/33/O/N/21 Question 9 part (b) · 6 marks
9709/32/F/M/21 Question 10 part (a) · 5 marks
9709/32/M/J/20 Question 6 part (b) · 5 marks

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

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