OCR A-level Mathematics A · H240

Integration by substitution

0 of 20 reviewed · Working saved in this browser

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

(a)

Find the exact greatest value of f(x).

[4]

(b)

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

[4]

Question reference: ocr-unseen-05-01Report 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