plumiIntegration: CAIE A‑Level Maths questions
Every CAIE A-Level Maths exam question on 2.5 Integration, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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![Specimen Paper 2, question 7: cos 2x – 2 7 (a) Show that tan2x + cos2x ≡ sec2x + 2 1 and hence find the exact value of 1 y 4 r ( tan 2 x + cos x 2 )d x . [7] 0 13 (b) y x O 1 4π 1 π and y =](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970902-spec-07-qp.webp)
All 3 questions on Integration, as a list
- June 2024, Paper 2, Q6 (9 marks): y x O 1 6 r The diagram shows the curve with equation y sin 2 x sin 2 2 x for 0 x 1 r. The shaded region is = + G G 6 1 r bounded by the curve and the straight
- June 2024, Paper 2, Q7 (9 marks): The polynomial ( )x p is defined by p ( )x 9 x 3 6 x 2 12 x + , k = + + where k is a constant. (a) Find the quotient when ( )x p is divided by ( 3 x 2 ) and sho
- Specimen, Paper 2, Q7 (11 marks): cos 2x – 2 7 (a) Show that tan2x + cos2x ≡ sec2x + 2 1 and hence find the exact value of 1 y 4 r ( tan 2 x + cos x 2 )d x . [7] 0 13 (b) y x O 1 4π 1 π and y =
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