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OCR A-level Mathematics A · H240

Partial fractions

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Calculator permitted. Give clear working in the answer booklet and label each part. Formulae are provided in the official question paper.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

  • 01 · Pure · 100 marks · 2 hours
  • 02 · Pure & statistics · 100 marks · 2 hours
  • 03 · Pure & mechanics · 100 marks · 2 hours
Official specification ↗ · Official past papers ↗
QUESTION PAPER
Mathematics · A levelPure mathematics · H240/01
Torus Maths original · OCR style
1

For x>0x>0, f(x)=x2+4x+8x(x+2)2f(x)=\frac{x^2+4x+8}{x(x+2)^2}.

(a)

Express f(x) in the form Ax+Bx+2+C(x+2)2\frac A x+\frac B{x+2}+\frac C{(x+2)^2}.

[3]

(b)

Find the exact value of ∫24f(x) dx\int_{2}^{4}f(x)\,dx.

[4]

Question reference: ocr-unseen-06-01Report a question →

Answer booklet

Question 1 · Show your working

(a)
(b)
Need a nudge?Three small hints · no answer revealed