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Edexcel A-level Mathematics · 9MA0

Integration by parts & 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.

The function f is defined by f(x)=ln⁡xx2f(x)=\frac{\ln x}{x^{2}} for x≥1x\geq1.

(a)

Show that f has a maximum, and find its exact value.

(4)

(b)

Find the exact area under the graph between x=1 and the point of maximum.

(5)

(Total for Question 1 is 9 marks)

Question reference: edexcel-unseen-02-01Report a question →
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