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Edexcel A-level Mathematics · 9MA0

Integration by substitution

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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)=(ln⁡x)2−4ln⁡x+3f(x)=(\ln x)^2-4\ln x+3.

(a)

Solve f(x)=0.

(2)

(b)

The curve y=f(x)/xy=f(x)/x and the x-axis enclose a finite region. Find its exact area.

(4)

(Total for Question 1 is 6 marks)

Question reference: edexcel-unseen-09-01Report a question →
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