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Integrals of the form kf'(x)/f(x) past paper questions

Pure Maths 3 9709 · Integration. Recognise and integrate kf'(x)/f(x), e.g. x/(x^2+1) and tan x.

In Cambridge A Level Pure Maths 3 9709, Integrals of the form kf'(x)/f(x) came up in 3 of the 42 papers on Paperstreak, for about 5 marks a paper when it does. It last came up in October/November 2023.

3 questions, newest first

  1. 9709/32/O/N/23 Question 5 · 6 marks
  2. 9709/32/M/J/21 Question 6 part (b) · 4 marks
  3. 9709/31/M/J/20 Question 7 part (b) · 4 marks

More in Integration: Standard integrals, Integration using trigonometric identities, Integration with partial fractions, Integration by parts, Integration by substitution.

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