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OCR A-level Mathematics A · H240

Integration by parts & partial fractions

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OCR format & instructions

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

A differentiable function ff satisfies f(0)=1f(0)=1, f(2)=3f(2)=3 and ∫02f(x) dx=4\int_0^{2}f(x)\,dx=4. Find ∫02xf′(x) dx\int_0^{2}x f'(x)\,dx.

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Answer booklet

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