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Edexcel A-level Mathematics · 9MA0

Partial fractions

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Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

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

  • 01 · Pure 1 · 100 marks · 2 hours
  • 02 · Pure 2 · 100 marks · 2 hours
  • 03 · Statistics & mechanics · 100 marks · 2 hours
Official specification ↗ · Official past papers ↗
QUESTION PAPER
Mathematics · A levelPure Mathematics practice · 9MA0
Torus Maths original · Edexcel 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)

(Total for Question 1 is 7 marks)

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