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O-LevelAdditional MathematicsDifferentiation and integrationMay/June 2021Paper 1 Q25 Marks

Find $\int_3^5\left(\frac{1}{x-1}-\frac{1}{(x-1)^2}\right)\,\text{dx}$, giving your answer in the form a+lnb, where a and b are rational numbers.

Q: What topic does this question test?

This question tests Differentiation and integration in O-Level Additional Mathematics (syllabus code 4037). It is worth 5 marks.

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This O-Level Additional Mathematics Question

Topic

This structured question tests Differentiation and integration in O-Level Additional Mathematics (syllabus code 4037). It is worth 5 marks.

Source

This question appeared in the Cambridge O-Level Additional Mathematics May/June 2021 examination, Paper 1 Variant 1.

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