Edexcel A-level Mathematics · 9MA0

Integration by substitution

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Extreme practice · Multi-step problems within A-level pure maths. Difficulty is an editorial judgement. These questions are self-reviewed, not ranked.

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

Let $I=\int_0^{3}x\sqrt{x^2+9}\ln(1+x^2/9)\,dx$ .

(a)

Find the exact value of I.

(6)

Working

(b)

Without evaluating another integral, find $\int_{-3}^0 x\sqrt{x^2+9}\ln(1+x^2/9)dx$ .

(2)

Working

(Total for Question 1 is 8 marks)

Question reference: edexcel-a-level-extreme-07-01Report a question →

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