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

For $0\leq x\leq\frac{\pi}{4}$ , $f(x)=\sin^3(2x)\cos^2(2x)$ .

(a)

Find the exact greatest value of f(x).

(4)

Working

(b)

Evaluate $\int_0^{\pi/4}f(x)\,dx$ .

(4)

Working

(Total for Question 1 is 8 marks)

Question reference: edexcel-unseen-05-01Report a question →

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