Integration with partial fractions: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 8.7 Integration with partial fractions, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 5 questions on Integration with partial fractions, as a list
- Summer 2025, Unit 3, Q11 (10 marks): 5 2 x d x 11. Find , giving your answer in the form lna + b, where a, b are constants. 2 1 2 1 x x [10] 1
- Summer 2024, Unit 3, Q1 (11 marks): 1. The function f is given by 25 32 x . f x 2 5 1 2 x x x Express f x in terms of partial fractions. (a) [4] 2 f x d x ln P (b
- Summer 2022, Unit 3, Q5 (9 marks): 5 The function f (x) is defined by 6x + 4 ( ) = ) . f x ( ) x +1 ( ) 2x + 3 ( x −1 a) Express f (x) in terms of partial fractions. [4] ∫ 3x + 2 dx b) Find , giv
- Summer 2019, Unit 3, Q1 (7 marks): 0 1 a) Express in terms of partial fractions. [4] ( ) x + 2 ( )2 x −1 ∫ 9 dx b) Find . [3] ( ) x + 2 ( )2 x −1
- Summer 2018, Unit 3, Q5 (8 marks): 5 a) Show that 3x A B C , 2 ≡ ) + ) + ( ( x −1 x − 4 ( ) x − 4 ( ) ( ) x −1 x − 4 2 where A, B and C are constants to be found. [3] 3x 7∫ dx b) Evaluate , givin
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