OCR A-level Mathematics A · H240

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.

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01 · Pure · 100 marks · 2 hours
02 · Pure & statistics · 100 marks · 2 hours
03 · Pure & mechanics · 100 marks · 2 hours

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QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR 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]

(b)

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

[2]

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

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

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