OCR A-level Mathematics A · H240

Integration by substitution

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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.

QUESTION PAPER

Mathematics · A levelPure mathematics · H240/01

Torus Maths original · OCR style

For $x>0$ , $f(x)=(\ln x)^2-4\ln x+3$ .

(a)

Solve f(x)=0.

[2]

(b)

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

[4]

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

Answer booklet

Question 1 · Show your working

(a)

Answer booklet · Question 1(a)

(b)

Answer booklet · Question 1(b)

Need a nudge?Three small hints · no answer revealed